Kauffman, Louis H. 1945
Overview
Works:  63 works in 305 publications in 2 languages and 12,097 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree, Creator 
Classifications:  QA612.2, 514.224 
Publication Timeline
.
Most widely held works by
Louis H Kauffman
Knots and physics by
Louis H Kauffman(
Book
)
63 editions published between 1991 and 2013 in English and German and held by 1,097 WorldCat member libraries worldwide
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasiphysical process. The demands of knot theory, coupled with a quantumstatistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this new edition, articles on other topics, including Khovanov Homology, have been included
63 editions published between 1991 and 2013 in English and German and held by 1,097 WorldCat member libraries worldwide
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasiphysical process. The demands of knot theory, coupled with a quantumstatistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this new edition, articles on other topics, including Khovanov Homology, have been included
On knots by
Louis H Kauffman(
Book
)
11 editions published in 1987 in English and Undetermined and held by 640 WorldCat member libraries worldwide
11 editions published in 1987 in English and Undetermined and held by 640 WorldCat member libraries worldwide
Formal knot theory by
Louis H Kauffman(
Book
)
16 editions published between 1983 and 2006 in English and Undetermined and held by 461 WorldCat member libraries worldwide
16 editions published between 1983 and 2006 in English and Undetermined and held by 461 WorldCat member libraries worldwide
TemperleyLieb recoupling theory and invariants of 3manifolds by
Louis H Kauffman(
Book
)
10 editions published in 1994 in English and held by 350 WorldCat member libraries worldwide
10 editions published in 1994 in English and held by 350 WorldCat member libraries worldwide
The interface of knots and physics : American Mathematical Society short course, January 23, 1995, San Francisco, California(
Book
)
10 editions published in 1996 in English and held by 321 WorldCat member libraries worldwide
10 editions published in 1996 in English and held by 321 WorldCat member libraries worldwide
Quantum topology by
Louis H Kauffman(
Book
)
16 editions published between 1993 and 1995 in English and German and held by 188 WorldCat member libraries worldwide
16 editions published between 1993 and 1995 in English and German and held by 188 WorldCat member libraries worldwide
Hopf algebras and generalizations : AMS Special Session on Hopf Algebras at the Crossroads of Algebra, Category Theory, and
Topology, October 2324, 2004, Evanston, Illinois by Category Theory, and Topology AMS Special Session on Hopf Algebras at the Crossroads of Algebra(
Book
)
10 editions published in 2007 in English and held by 185 WorldCat member libraries worldwide
10 editions published in 2007 in English and held by 185 WorldCat member libraries worldwide
Mathematics of quantum computation and quantum technology by
Goong Chen(
Book
)
15 editions published between 2007 and 2008 in English and held by 174 WorldCat member libraries worldwide
Emphasizing the mathematical methodology of quantum computing, this text presents the latest developments in the field. It covers quantum algorithms, quantum error correction codes, quantum teleportation, topological quantum computing, quantum search and quantum computational technology
15 editions published between 2007 and 2008 in English and held by 174 WorldCat member libraries worldwide
Emphasizing the mathematical methodology of quantum computing, this text presents the latest developments in the field. It covers quantum algorithms, quantum error correction codes, quantum teleportation, topological quantum computing, quantum search and quantum computational technology
Ideal knots(
Book
)
10 editions published in 1998 in English and held by 170 WorldCat member libraries worldwide
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter
10 editions published in 1998 in English and held by 170 WorldCat member libraries worldwide
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter
Knots and applications(
Book
)
10 editions published between 1994 and 1995 in English and held by 166 WorldCat member libraries worldwide
This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory
10 editions published between 1994 and 1995 in English and held by 166 WorldCat member libraries worldwide
This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory
Hypercomplex iterations : distance estimation and higher dimensional fractals by
Yumei Dang(
Book
)
19 editions published between 1998 and 2002 in English and held by 128 WorldCat member libraries worldwide
Includes an interactive tour of the space of hypercomplex Julia sets and an educational minidocumentary introducing fractals and hypercomplex geometry
19 editions published between 1998 and 2002 in English and held by 128 WorldCat member libraries worldwide
Includes an interactive tour of the space of hypercomplex Julia sets and an educational minidocumentary introducing fractals and hypercomplex geometry
Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and
Its Applications to Physics and Biology, ICTP, Trieste, Italy, 1129 May 2009 by Advanced school and conference on knot theory and its applications to physics and biology(
Book
)
7 editions published between 2011 and 2012 in English and held by 77 WorldCat member libraries worldwide
This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into threedimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3manifold topology in the last 25 years. From the Jones, Homflypt and Kauffman polynomials, quantum invariants of 3manifolds, through, Vassiliev invariants, topological quantum field theories, to relations with gauge theory type invariants in 4dimensional topology. More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed HeegaardFloer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with fourdimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book. It is a remarkable fact that knot theory, while very special in its problematic form, involves ideas and techniques that involve and inform much of mathematics and theoretical physics. The subject has significant applications and relations with biology, physics, combinatorics, algebra and the theory of computation. The summer school on which this book is based contained excellent lectures on the many aspects of applications of knot theory. This book gives an indepth survey of the state of the art of present day knot theory and its applications
7 editions published between 2011 and 2012 in English and held by 77 WorldCat member libraries worldwide
This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into threedimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3manifold topology in the last 25 years. From the Jones, Homflypt and Kauffman polynomials, quantum invariants of 3manifolds, through, Vassiliev invariants, topological quantum field theories, to relations with gauge theory type invariants in 4dimensional topology. More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed HeegaardFloer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with fourdimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book. It is a remarkable fact that knot theory, while very special in its problematic form, involves ideas and techniques that involve and inform much of mathematics and theoretical physics. The subject has significant applications and relations with biology, physics, combinatorics, algebra and the theory of computation. The summer school on which this book is based contained excellent lectures on the many aspects of applications of knot theory. This book gives an indepth survey of the state of the art of present day knot theory and its applications
Lectures on topological fluid mechanics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 210,
2001 by
De Witt L Sumners(
Book
)
8 editions published in 2009 in English and held by 55 WorldCat member libraries worldwide
Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wideranging collection of uptodate, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material
8 editions published in 2009 in English and held by 55 WorldCat member libraries worldwide
Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wideranging collection of uptodate, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material
The mereon matrix : unity, perspective, and paradox by
Lynnclaire Dennis(
Book
)
7 editions published in 2013 in English and held by 37 WorldCat member libraries worldwide
Mereon is an approach to the unification of knowledge that relies on whole systems modelling. It is a scientific framework that charts the sequential, emergent growth process of systems. A dynamic structure, Mereon provides insight and a new approach to General Systems Theory and nonlinear science. Mereon evolved through a new approach to polyhedral geometry and topology that is related to the dynamics of the polyhedra. It is related to a large number of systems, physical, mathematical, and philosophical. In linking these systems, Mereon provides access to new relationships among them and combines geometric and process thinking. This book provides the fundamentals of such connections for an ongoing search for order, directionality, and diversity that is found in this unity. It is written in clear language that manages to connect diverse disciplines and in doing so, makes a complex system easily accessible and understandable. It will be of interest to mathematicians, geneticists, and all those interested in researching unity in science and astrobiology. Elaborates on several important aspects of General Systems Theory including nonlinearity. Each chapter is selfcontained and explained relative to Mereon, providing references to scientific findings that are congruent with or expanded by Mereon. Offers a new way of modelling that can be applied across the sciences
7 editions published in 2013 in English and held by 37 WorldCat member libraries worldwide
Mereon is an approach to the unification of knowledge that relies on whole systems modelling. It is a scientific framework that charts the sequential, emergent growth process of systems. A dynamic structure, Mereon provides insight and a new approach to General Systems Theory and nonlinear science. Mereon evolved through a new approach to polyhedral geometry and topology that is related to the dynamics of the polyhedra. It is related to a large number of systems, physical, mathematical, and philosophical. In linking these systems, Mereon provides access to new relationships among them and combines geometric and process thinking. This book provides the fundamentals of such connections for an ongoing search for order, directionality, and diversity that is found in this unity. It is written in clear language that manages to connect diverse disciplines and in doing so, makes a complex system easily accessible and understandable. It will be of interest to mathematicians, geneticists, and all those interested in researching unity in science and astrobiology. Elaborates on several important aspects of General Systems Theory including nonlinearity. Each chapter is selfcontained and explained relative to Mereon, providing references to scientific findings that are congruent with or expanded by Mereon. Offers a new way of modelling that can be applied across the sciences
New ideas in low dimensional topology(
Book
)
5 editions published in 2015 in English and Undetermined and held by 31 WorldCat member libraries worldwide
This book consists of a selection of articles devoted to new ideas and develpments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics
5 editions published in 2015 in English and Undetermined and held by 31 WorldCat member libraries worldwide
This book consists of a selection of articles devoted to new ideas and develpments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics
Scientific essays in honor of H. Pierre Noyes on the occasion of his 90th birthday by C. Amson John(
Book
)
10 editions published between 2013 and 2014 in English and held by 24 WorldCat member libraries worldwide
This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes. The book is a representative selection of papers on the topics that have been central to the meetings over the last three decades of ANPA, the Alternative Natural Philosophy Association. ANPA was founded by Pierre Noyes and his colleagues the philosopherlinguistphysicist Frederick ParkerRhodes, the physicist Ted Bastin, and the mathematicians Clive Kilmister, John Amson. Many of the topics in the book center on the combinatorial hierarchy discovered by the originators of ANPA. Other topics explore geometrical, cosmological and biological aspects of those ideas, and foundational aspects related to discrete physics and emergent quantum mechanics. The book will be useful to readers interested in fundamental physics, and particularly to readers looking for new and important viewpoints in Science that contain the seeds of futurity
10 editions published between 2013 and 2014 in English and held by 24 WorldCat member libraries worldwide
This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes. The book is a representative selection of papers on the topics that have been central to the meetings over the last three decades of ANPA, the Alternative Natural Philosophy Association. ANPA was founded by Pierre Noyes and his colleagues the philosopherlinguistphysicist Frederick ParkerRhodes, the physicist Ted Bastin, and the mathematicians Clive Kilmister, John Amson. Many of the topics in the book center on the combinatorial hierarchy discovered by the originators of ANPA. Other topics explore geometrical, cosmological and biological aspects of those ideas, and foundational aspects related to discrete physics and emergent quantum mechanics. The book will be useful to readers interested in fundamental physics, and particularly to readers looking for new and important viewpoints in Science that contain the seeds of futurity
The interface of knots and physics : an AMS short course on knots and physics(
Book
)
2 editions published between 1995 and 1996 in English and held by 20 WorldCat member libraries worldwide
2 editions published between 1995 and 1996 in English and held by 20 WorldCat member libraries worldwide
The physics of reality : space, time, matter, cosmos : proceedings of the 8th symposium honoring mathematical physicist JeanPierre
Vigier, Covent Garden, London, UK, 15 18 August 2012(
Book
)
4 editions published in 2013 in English and held by 18 WorldCat member libraries worldwide
A truly Galileanclass volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted for addressing avantgarde, cuttingedge topics in contemporary physics. Among the six proceedings honoring J.P. Vigier, this is perhaps the most exciting one as several important breakthroughs are introduced for the first time. The most interesting breakthrough in view of the recent NIST experimental violations of QED is a continuation of the pioneering work by Vigier on tight bound states in hydrogen. The new experimental protocol described not only promises empirical proof of largescale extra dimensions in conjunction with avenues for testing string theory, but also implies the birth of the field of unified field mechanics, ushering in a new age of discovery. Work on quantum computing redefines the qubit in a manner that the uncertainty principle may be routinely violated. Other breakthroughs occur in the utility of quaternion algebra in extending our understanding of the nature of the fermionic singularity or point particle. There are several other discoveries of equal magnitude, making this volume a musthave acquisition for the library of any serious forwardlooking researchers
4 editions published in 2013 in English and held by 18 WorldCat member libraries worldwide
A truly Galileanclass volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted for addressing avantgarde, cuttingedge topics in contemporary physics. Among the six proceedings honoring J.P. Vigier, this is perhaps the most exciting one as several important breakthroughs are introduced for the first time. The most interesting breakthrough in view of the recent NIST experimental violations of QED is a continuation of the pioneering work by Vigier on tight bound states in hydrogen. The new experimental protocol described not only promises empirical proof of largescale extra dimensions in conjunction with avenues for testing string theory, but also implies the birth of the field of unified field mechanics, ushering in a new age of discovery. Work on quantum computing redefines the qubit in a manner that the uncertainty principle may be routinely violated. Other breakthroughs occur in the utility of quaternion algebra in extending our understanding of the nature of the fermionic singularity or point particle. There are several other discoveries of equal magnitude, making this volume a musthave acquisition for the library of any serious forwardlooking researchers
Bios : a study of creation by
Hector C Sabelli(
Book
)
10 editions published in 2005 in English and held by 10 WorldCat member libraries worldwide
This book focuses on a prototype of creative causal processes termed BIOS and how the concept can be applied to the physical world, in medicine and in social science. This book presents methods for identifying creative features in empirical data; studies showing biotic patterns in physical, biological, and economic processes; mathematical models of bipolar (positive and negative) feedback that generate biotic patterns. These studies support the hypothesis that natural processes are creative (not determined) and causal (not random) and that bipolar feedback plays a major role in their evolution
10 editions published in 2005 in English and held by 10 WorldCat member libraries worldwide
This book focuses on a prototype of creative causal processes termed BIOS and how the concept can be applied to the physical world, in medicine and in social science. This book presents methods for identifying creative features in empirical data; studies showing biotic patterns in physical, biological, and economic processes; mathematical models of bipolar (positive and negative) feedback that generate biotic patterns. These studies support the hypothesis that natural processes are creative (not determined) and causal (not random) and that bipolar feedback plays a major role in their evolution
Knots And Physics (Third Edition) by
Louis H Kauffman(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasiphysical process. The demands of knot theory, coupled with a quantumstatistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasiphysical process. The demands of knot theory, coupled with a quantumstatistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 World Scientific (Firm) Publisher
 Dang, Yumei Author
 Sandin, Daniel J.
 Amson, John C. Editor
 Noyes, H. Pierre
 Sabelli, Hector C. 1937 Author
 Amoroso, Richard L. Author Editor
 Rowlands, Peter Editor
 Abdus Salam International Centre for Theoretical Physics
 Dennis, Lynnclaire 1951 Author Editor
Useful Links
Associated Subjects
Braid theory Creation CreationPhilosophy Differentiable dynamical systems Differential equations, Partial Fluid mechanics Fractals Hopf algebras Invariants Iterative methods (Mathematics) Knot polynomials Knot theory Lowdimensional topology Magnetohydrodynamics Mandelbrot sets Mathematical models Mathematical physics Matrices Physics Quantum theory Quantum theoryMathematics Quaternions Reality Relativity (Physics) Simulation methods Singularities (Mathematics) System analysis System theory Thermodynamics Threemanifolds (Topology) Topological manifolds Topology
Alternative Names
Kauffman, L. H.
Kauffman, L. H. 1945
Kauffman, L. H. (Louis H.), 1945
Kauffman, Louis.
Kauffman, Louis 1945
Kauffman, Louis Hirsch 1945
Louis H. Kauffman USamerikanischer Mathematiker
Louis Kauffman amerikansk matematikar
Louis Kauffman amerikansk matematiker
Louis Kauffman matematyk amerykański
Louis Kauffman mathmaticien amricain
カウフマン, L. H
Languages
Covers