Kirwan, Frances Clare 1959
Overview
Works:  32 works in 125 publications in 2 languages and 2,574 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Editor, Thesis advisor 
Classifications:  QA564, 514 
Publication Timeline
.
Most widely held works by
Frances Clare Kirwan
Complex algebraic curves by
Frances Clare Kirwan(
Book
)
33 editions published between 1987 and 1999 in English and held by 593 WorldCat member libraries worldwide
This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis
33 editions published between 1987 and 1999 in English and held by 593 WorldCat member libraries worldwide
This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis
An introduction to intersection homology theory by
Frances Clare Kirwan(
Book
)
26 editions published between 1988 and 2006 in English and held by 449 WorldCat member libraries worldwide
26 editions published between 1988 and 2006 in English and held by 449 WorldCat member libraries worldwide
Cohomology of quotients in symplectic and algebraic geometry by
Frances Clare Kirwan(
Book
)
16 editions published between 1983 and 1984 in English and held by 360 WorldCat member libraries worldwide
16 editions published between 1983 and 1984 in English and held by 360 WorldCat member libraries worldwide
Geometric invariant theory by
David Mumford(
Book
)
3 editions published between 1994 and 2002 in English and held by 240 WorldCat member libraries worldwide
3 editions published between 1994 and 2002 in English and held by 240 WorldCat member libraries worldwide
Geometric invariant theory by
David Mumford(
Book
)
12 editions published between 1965 and 2012 in English and held by 101 WorldCat member libraries worldwide
12 editions published between 1965 and 2012 in English and held by 101 WorldCat member libraries worldwide
European women in mathematics : workshop on moduli spaces in mathematics and physics [held] Oxford, 2 and 3 July 1998 by European Women in Mathematics workshop on Moduli Spaces(
Book
)
3 editions published between 2000 and 2001 in English and held by 7 WorldCat member libraries worldwide
3 editions published between 2000 and 2001 in English and held by 7 WorldCat member libraries worldwide
European women in mathematics workshop on moduli spaces in mathematics and physics : Oxford, July 2 and 3, 1998 ; [...proceedings
of the European women in mathematics workshop on moduli spaces which was held at Oxford in July 1998] by
Frances Clare Kirwan(
Book
)
3 editions published between 1999 and 2003 in English and Undetermined and held by 3 WorldCat member libraries worldwide
3 editions published between 1999 and 2003 in English and Undetermined and held by 3 WorldCat member libraries worldwide
Emigrants remittances, nontraded goods and economic welfare in the source country by
F. X Kirwan(
Book
)
1 edition published in 1984 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 2 WorldCat member libraries worldwide
Cohomologie équivariante des espaces SU(n)2g et de leurs réductions quasihamiltoniennes by
Sébastien Racanière(
Book
)
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
A well known fact about reduction in a Hamiltonian space is that its restriction map is surjective. In a quasiHamiltonian setting, things are more complicated. In this thesis, we study the case of the space SU(n)2̂g. Its reduction at an element in the center of SU(n) is isomorphic to a moduli space of semistable holomorphic vector bundles over a Riemann surface of genus g.Firstly, we study the reduction at a regular value of the moment map, namely a generator of the center of SU(n). We describe its restriction map in terms of natural multiplicative generators of the equivariant cohomology of SU(n)2̂g and of the moduli space's cohomology.Secondly, we look at the reduction at the identity matrix of SU(n). Here the restriction map is injective. After a study of a family of generalised MorseBott functions on SU(n)2̂g, we propose a geometric interpretation of the injectivity of the restriction map in the cases n=2 or 3
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
A well known fact about reduction in a Hamiltonian space is that its restriction map is surjective. In a quasiHamiltonian setting, things are more complicated. In this thesis, we study the case of the space SU(n)2̂g. Its reduction at an element in the center of SU(n) is isomorphic to a moduli space of semistable holomorphic vector bundles over a Riemann surface of genus g.Firstly, we study the reduction at a regular value of the moment map, namely a generator of the center of SU(n). We describe its restriction map in terms of natural multiplicative generators of the equivariant cohomology of SU(n)2̂g and of the moduli space's cohomology.Secondly, we look at the reduction at the identity matrix of SU(n). Here the restriction map is injective. After a study of a family of generalised MorseBott functions on SU(n)2̂g, we propose a geometric interpretation of the injectivity of the restriction map in the cases n=2 or 3
Complex polynomials by
T SheilSmall(
)
2 editions published in 2003 in English and held by 0 WorldCat member libraries worldwide
Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory
2 editions published in 2003 in English and held by 0 WorldCat member libraries worldwide
Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory
Global methods for combinatorial isoperimetric problems by
Lawrence H Harper(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"This book is based on Professor Harper's many years' experience in teaching this subject and is ideal for graduate students entering the field. The author has increased the utility of the text for teaching by including worked examples, exercises, and material about applications to computer science. Applied systematically, the global point of view can lead to surprising insights and results, and established researchers will find this to be a valuable reference work on an innovative method for problem solving."Jacket
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"This book is based on Professor Harper's many years' experience in teaching this subject and is ideal for graduate students entering the field. The author has increased the utility of the text for teaching by including worked examples, exercises, and material about applications to computer science. Applied systematically, the global point of view can lead to surprising insights and results, and established researchers will find this to be a valuable reference work on an innovative method for problem solving."Jacket
Typical dynamics of volume preserving homeomorphisms by
Steve Alpern(
)
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
Representation Theory of Finite Reductive Groups by
Marc Cabanes(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern algebra, synthesizing the past twentyfive years of research, by including some of the most remarkable achievements in the field. The text is illustrated throughout by many examples, and background material is provided by several introductory chapters on basic results as well as appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and a reference for all algebraists
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern algebra, synthesizing the past twentyfive years of research, by including some of the most remarkable achievements in the field. The text is illustrated throughout by many examples, and background material is provided by several introductory chapters on basic results as well as appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and a reference for all algebraists
Floer Homology Groups in YangMills Theory by
S. K Donaldson(
)
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for selfdual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated SeibergWitten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for selfdual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated SeibergWitten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution
Moduli spaces in mathematics and physics(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
These are The proceedings of the European women in mathematics workshop on moduli spaces which was held at Oxford in July 1998
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
These are The proceedings of the European women in mathematics workshop on moduli spaces which was held at Oxford in July 1998
Harmonic Maps, Conservation Laws and Moving Frames by
Béla Bollobás(
)
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
An introduction to nonlinear analysis by
Martin Schechter(
)
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible
Fixed point theory and applications by
Ravi P Agarwal(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Annotation This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Annotation This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type
Galois theories by
Francis Borceux(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Starting from the classical finitedimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. For all algebraists and category theorists this book will be a rewarding read
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Starting from the classical finitedimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. For all algebraists and category theorists this book will be a rewarding read
Set theory by
George J Tourlakis(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature
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Related Identities
 Fogarty, John 1934
 Mumford, David 1937 Author
 Woolf, Jonathan
 Bollobas, B. Other Editor
 Katok, A. Other Editor
 Fulton, W. Other Editor
 Sarnak, P. Other Editor
 Simon, B. Other
 Alpern, S. R. Author
 Prasad, V. (V. S.)
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Associated Subjects
Algebra, Homological Algebraic varieties Calculus of variations Combinatorial optimization Curves, Algebraic Differentiable dynamical systems Differential equations, Nonlinear Emigration and immigrationEconomic aspectsMathematical models Ergodic theory Fixed point theory Functions of complex variables Galois theory Geometry Geometry, Algebraic Geometry, Differential Group schemes (Mathematics) Harmonic maps Homeomorphisms Homology theory Intersection homology theory Intersection theory Invariants Logic, Symbolic and mathematical Mappings (Mathematics) Mathematics Measurepreserving transformations Moduli theory Morphisms (Mathematics) Nonlinear boundary value problems Nonlinear functional analysis Nonlinear theories Numerical analysis Polynomials Riemannian manifolds Set theory Symplectic manifolds Teichmüller spaces Vector bundles YangMills theory
Alternative Names
Frances Kirwan britische Mathematikerin
Frances Kirwan British mathematician
Frances Kirwan Brits wiskundige
Kirwan, F.
Kirwan, F. 1959
Kirwan, F. (Frances), 1959
Kirwan, Frances.
Kirwan, Frances 1959
Kirwan, Frances C. 1959
Kirwan, Frances Clare
Kirwan, Frances Clare 1959
弗朗西斯·柯万
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