Kirwan, Frances Clare 1959
Overview
Works:  13 works in 78 publications in 2 languages and 1,688 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Other, Thesis advisor 
Classifications:  QA564, 512.2 
Publication Timeline
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Most widely held works by
Frances Clare Kirwan
Complex algebraic curves
by
Frances Clare Kirwan(
Book
)
29 editions published between 1987 and 1999 in English and held by 599 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
29 editions published between 1987 and 1999 in English and held by 599 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
)
20 editions published between 1988 and 2006 in English and held by 423 WorldCat member libraries worldwide
20 editions published between 1988 and 2006 in English and held by 423 WorldCat member libraries worldwide
Cohomology of quotients in symplectic and algebraic geometry
by
Frances Clare Kirwan(
Book
)
5 editions published in 1984 in English and held by 326 WorldCat member libraries worldwide
5 editions published in 1984 in English and held by 326 WorldCat member libraries worldwide
Geometric invariant theory
by
David Mumford(
Book
)
13 editions published between 1965 and 2002 in English and held by 319 WorldCat member libraries worldwide
13 editions published between 1965 and 2002 in English and held by 319 WorldCat member libraries worldwide
European women in mathematics : workshop on moduli spaces in mathematics and physics [held] Oxford, 2 and 3 July 1998
(
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
Moduli spaces in mathematics and physics
(
)
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
Access through:
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
Access through:
European Women in Mathematics Workshop on Moduli Spaces in Mathematics and Physics Proceedings, European Women in Mathematics Workshop, Oxford, U. K., 1998
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)
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 3 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]
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Book
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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
Representation theory of finite reductive groups
by
Marc Cabanes(
)
1 edition published in 2004 in English and held by 2 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 2 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
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 1 WorldCat member library 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 1 WorldCat member library 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
Workshop on moduli spaces in mathematics and physics : European Women in Mathematics : Oxford, 2 and 3 July 1998
by European Women in Mathematics(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
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by
Frances Clare Kirwan(
Book
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
A geometric invariant theory construction of moduli spaces of stable maps
by Elizabeth Baldwin(
Book
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
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Algebra, Homological Algebraic varieties Curves, Algebraic Finite groups Geometry, Algebraic Group schemes (Mathematics) Homology theory Intersection homology theory Intersection theory Invariants Mathematics Moduli theory Representations of groups Symplectic manifolds Teichmüller spaces Vector bundles YangMills theory