Kirwan, Frances Clare 1959
Overview
Works:  32 works in 125 publications in 2 languages and 2,523 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 592 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 592 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
)
27 editions published between 1988 and 2006 in English and Undetermined and held by 448 WorldCat member libraries worldwide
27 editions published between 1988 and 2006 in English and Undetermined and held by 448 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 100 WorldCat member libraries worldwide
12 editions published between 1965 and 2012 in English and held by 100 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](
Book
)
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1999 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
Il est bien connu que dans la réduction d'un espace hamiltonien, l'application de restriction est surjective. Dans le cadre quasihamiltonien les choses sont plus compliquées. Nous nous proposons d'étudier le cas de l'espace SU(n)2̂g . La réduction de cet espace en un élément du centre de SU(n) est isomorphe à un espace de modules de fibrés holomorphes semistables sur une surface de Riemann.En premier lieu nous nous intéressons à sa réduction en un générateur du centre de SU(n). Nous décrivons l'application de restriction dans ce cas en fonctions de générateurs multiplicatifs naturels de la cohomologie équivariante de SU(n)2̂g et de la cohomologie de l'espace de modules.Dans un deuxième temps, nous nous intéressons à sa réduction en la matrice identité de SU(n). L'application de restriction est ici injective. Après l'étude d'une famille de fonctions de MorseBott sur SU(n)2̂g, nous proposons une interprétation géométrique de l'injectivité de l'application de restriction dans les cas n=2 ou 3
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
Il est bien connu que dans la réduction d'un espace hamiltonien, l'application de restriction est surjective. Dans le cadre quasihamiltonien les choses sont plus compliquées. Nous nous proposons d'étudier le cas de l'espace SU(n)2̂g . La réduction de cet espace en un élément du centre de SU(n) est isomorphe à un espace de modules de fibrés holomorphes semistables sur une surface de Riemann.En premier lieu nous nous intéressons à sa réduction en un générateur du centre de SU(n). Nous décrivons l'application de restriction dans ce cas en fonctions de générateurs multiplicatifs naturels de la cohomologie équivariante de SU(n)2̂g et de la cohomologie de l'espace de modules.Dans un deuxième temps, nous nous intéressons à sa réduction en la matrice identité de SU(n). L'application de restriction est ici injective. Après l'étude d'une famille de fonctions de MorseBott sur SU(n)2̂g, nous proposons une interprétation géométrique de l'injectivité de l'application de restriction dans les cas n=2 ou 3
"European Women in Mathematics Workshop on Moduli Spaces in Mathematics and Physics: Proceedings, European Women in Mathematics
Workshop, Oxford, U. K., 1998" by
Frances Clare Kirwan(
Book
)
2 editions published in 2003 in Undetermined and English and held by 1 WorldCat member library worldwide
2 editions published in 2003 in Undetermined and English and held by 1 WorldCat member library worldwide
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
Set theory by
George J Tourlakis(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This twovolume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a userfriendly conversational lecture style that makes them equally effective for selfstudy or class use. Volume II, on formal (ZFC) set theory, incorporates a selfcontained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced 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
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This twovolume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a userfriendly conversational lecture style that makes them equally effective for selfstudy or class use. Volume II, on formal (ZFC) set theory, incorporates a selfcontained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced 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
An introduction to maximum principles and symmetry in elliptic problems by
L. E Fraenkel(
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
Originallo published in 2000, this was the first book to present the basic theoro of the sommetro of solutions to secondorder elliptic partial differential equations bo means of the maximum principle. It proceeds from elementaro facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on work of Alexandrov and of Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundaro condition allow sphericallo sommetric solutions, then, remarkablo, all positive solutions are sphericallo sommetric. Results are presented with minimal prerequisites in a stole suited to graduate students. Two long and leisurelo appendices give basic facts about the Laplace and Poisson equations. There is a plentiful supplo of exercises, with detailed hints
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
Originallo published in 2000, this was the first book to present the basic theoro of the sommetro of solutions to secondorder elliptic partial differential equations bo means of the maximum principle. It proceeds from elementaro facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on work of Alexandrov and of Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundaro condition allow sphericallo sommetric solutions, then, remarkablo, all positive solutions are sphericallo sommetric. Results are presented with minimal prerequisites in a stole suited to graduate students. Two long and leisurelo appendices give basic facts about the Laplace and Poisson equations. There is a plentiful supplo of exercises, with detailed hints
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
Modular forms and Galois cohomology by
Haruzo Hida(
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of TaylorWiles proof of Fermat's last theorem. Hida begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and recent results on elliptic modular forms, including a substantial simplification of the TaylorWiles proof by Fujiwara and Diamond. He offers a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a nonabelian class number formula
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of TaylorWiles proof of Fermat's last theorem. Hida begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and recent results on elliptic modular forms, including a substantial simplification of the TaylorWiles proof by Fujiwara and Diamond. He offers a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a nonabelian class number formula
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
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
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
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
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 book provides a selfcontained introduction to typical properties of volume preserving homeomorphisms. Stress is given to the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. An excellent introduction for newcomers, and an indispensable resource for experts
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This book provides a selfcontained introduction to typical properties of volume preserving homeomorphisms. Stress is given to the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. An excellent introduction for newcomers, and an indispensable resource for experts
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Related Identities
 Fogarty, John 1934
 Mumford, David 1937 Author
 Woolf, Jonathan
 Katok, A. Other Editor
 Bollobas, B. Other Editor
 Fulton, W. Other Editor
 Sarnak, P. Other Editor
 Mumford, David Author
 Simon, B. Other
 Alpern, S. R. Author
Useful Links
Associated Subjects
Algebra, Homological Algebraic varieties Curves, Algebraic Differentiable dynamical systems Differential equations, Elliptic Ergodic theory Fixed point theory Forms, Modular 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 Maximum principles (Mathematics) Measurepreserving transformations Moduli theory Polynomials Riemannian manifolds Set theory Symmetry 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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