Frances Kirwan

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Implosion, contraction and Moore–Tachikawa	2024	Andrew Dancer Frances Kirwan Johan Martens
+	Implosion, Contraction and Moore-Tachikawa	2024	Andrew Dancer Frances Kirwan Johan Martens
+ PDF	Moment maps and cohomology of non-reductive quotients	2023	Gergely Bérczi Frances Kirwan
+ PDF	Non-reductive geometric invariant theory and hyperbolicity	2023	Gergely Bérczi Frances Kirwan
+	From Michael Atiyah to the 21st century	2022	Frances Kirwan
+ PDF	Orthosymplectic implosions	2021	Antoine Bourget Andrew Dancer Julius F. Grimminger Amihay Hanany Frances Kirwan Zhenghao Zhong
+ PDF	Symplectic duality and implosions	2021	Andrew Dancer Amihay Hanany Frances Kirwan
+ PDF	Morse Theory without Non-Degeneracy	2020	Frances Kirwan Geoffrey Penington
+	Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31	2020	Frances Kirwan
+ PDF Chat	Symplectic quotients of unstable Morse strata for normsquares of moment maps	2020	Frances Kirwan
+	Symplectic duality and implosions	2020	Andrew Dancer Amihay Hanany Frances Kirwan
+	Morse theory without nondegeneracy	2019	Frances Kirwan Geoffrey Penington
+	Moment maps and cohomology of non-reductive quotients	2019	Gergely Bérczi Frances Kirwan
+	Morse theory without nondegeneracy	2019	Frances Kirwan Geoffrey Penington
+	Non-reductive geometric invariant theory and hyperbolicity	2019	Gergely Bérczi Frances Kirwan
+	Graded linearisations	2018	Gergely Bèrczi Brent Doran Frances Kirwan
+	Graded linearisations	2018	Gergely Bèrczi Brent Doran Frances Kirwan
+ PDF Chat	Geometric invariant theory for graded unipotent groups and applications	2018	Gergely Bérczi Brent Doran Thomas Hawes Frances Kirwan
+	Symplectic quotients of unstable Morse strata for normsquares of moment maps.	2018	Frances Kirwan
+ PDF	Stratifying Quotient Stacks and Moduli Stacks	2018	Gergely Bérczi Victoria Hoskins Frances Kirwan
+	Symplectic quotients of unstable Morse strata for normsquares of moment maps	2018	Frances Kirwan
+	Variation of Non-reductive Geometric Invariant Theory	2017	Gergely Bérczi Joshua James Jackson Frances Kirwan
+	Stratifying quotient stacks and moduli stacks	2017	Gergely Bérczi Victoria Hoskins Frances Kirwan
+ PDF	GRADED UNIPOTENT GROUPS AND GROSSHANS THEORY	2017	Gergely Bérczi Frances Kirwan
+ PDF Chat	Variation of non-reductive geometric invariant theory	2017	Gergely Bérczi Joshua James Jackson Frances Kirwan
+	Graded linearisations	2017	Gergely Bérczi Brent Doran Frances Kirwan
+	Stratifying quotient stacks and moduli stacks	2017	Gergely Bérczi Victoria Hoskins Frances Kirwan
+	Variation of Non-reductive Geometric Invariant Theory	2017	Gergely Bérczi Joshua J. Jackson Frances Kirwan
+ PDF Chat	Symplectic and Hyperkähler Implosion	2016	Andrew Dancer Brent Doran Frances Kirwan Andrew Swann
+	Projective completions of graded unipotent quotients	2016	Gergely Bérczi Brent Doran Thomas Hawes Frances Kirwan
+	Constructing quotients of algebraic varieties by linear algebraic group actions	2015	Gergely Bérczi Brent Doran Thomas Hawes Frances Kirwan
+ PDF Chat	Hyperkähler Implosion and Nahm’s Equations	2015	Andrew Dancer Frances Kirwan Markus Röser
+	Graded unipotent groups and Grosshans theory	2015	Gergely Bérczi Frances Kirwan
+ PDF	A multiplicative analogue of complex symplectic implosion	2015	Andrew Dancer Frances Kirwan
+	A multiplicative analogue of complex symplectic implosion	2015	Andrew Dancer Frances Kirwan
+	A multiplicative analogue of complex symplectic implosion	2015	Andrew Dancer Frances Kirwan
+	Graded unipotent groups and Grosshans theory	2015	Gergely Bérczi Frances Kirwan
+	Constructing quotients of algebraic varieties by linear algebraic group actions	2015	Gergely Bérczi Brent Doran Thomas Hawes Frances Kirwan
+ PDF	Twistor spaces for hyperkähler implosions	2014	Andrew Dancer Frances Kirwan Andrew Swann
+	IMPLOSIONS AND HYPERTORIC GEOMETRY	2014	Andrew Dancer Frances Kirwan Andrew Swann
+	Surjectivity of the hyperkähler Kirwan map	2014	Jonathan Fisher Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan Jonathan Woolf
+	Symplectic and hyperkahler implosion	2014	Andrew Dancer Brent Doran Frances Kirwan Andrew Swann
+	Twistor spaces for hyperkaehler implosions	2013	Andrew Dancer Frances Kirwan Andrew Swann
+ PDF	Implosion for hyperkähler manifolds	2013	Andrew Dancer Frances Kirwan Andrew Swann
+	Invariants for non-reductive group actions	2013	Gergely Bérczi Frances Kirwan
+	Implosions and hypertoric geometry	2013	Andrew Dancer Frances Kirwan Andrew Swann
+	Invariants for non-reductive group actions	2013	Gergely Bérczi Frances Kirwan
+	Twistor spaces for hyperkaehler implosions	2013	Andrew Dancer Frances Kirwan Andrew Swann
+	Implosion for hyperkahler manifolds	2012	Andrew Dancer Frances Kirwan Andrew Swann
+ PDF Chat	Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type	2012	Victoria Hoskins Frances Kirwan
+ PDF	A geometric construction for invariant jet differentials	2012	Gergely Bérczi Frances Kirwan
+	Implosion for hyperkahler manifolds	2012	Andrew Dancer Frances Kirwan Andrew Swann
+	Symplectic implosion and nonreductive quotients	2011	Frances Kirwan
+	Universal moduli of parabolic sheaves on stable marked curves	2011	Frances Kirwan
+	A geometric construction for invariant jet differentials	2010	Gergely Bérczi Frances Kirwan
+	A geometric construction for invariant jet differentials	2010	Gergely Bérczi Frances Kirwan
+ PDF Chat	On the cohomology of hyperkähler quotients	2009	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan
+ PDF Chat	Quotients by Non-Reductive Algebraic Group Actions	2009	Frances Kirwan
+	LOCALLY CONVEX SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS	2009	Frances Kirwan Peter Sarnak Barry Simon Burt Totaro
+ PDF Chat	Yang-Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics	2008	Aravind Asok Brent Doran Frances Kirwan
+ PDF Chat	Yang-Mills theory and Tamagawa numbers	2008	Aravind Asok Brent Doran Frances Kirwan
+	On the cohomology of hyperkahler quotients	2008	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan
+	Quotients by non-reductive algebraic group actions	2008	Frances Kirwan
+	Symplectic implosion and non-reductive quotients	2008	Frances Kirwan
+ PDF Chat	Refinements of the Morse stratification of the normsquare of the moment map	2007	Frances Kirwan
+	Towards non-reductive geometric invariant theory	2007	Brent Doran Frances Kirwan
+ PDF	Towards Non-Reductive Geometric Invariant Theory	2007	Brent Doran Frances Kirwan
+	Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations	2006	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan Jonathan Woolf
+	An Introduction to Intersection Homology Theory	2006	Frances Kirwan Jonathan Woolf
+	An Introduction to Intersection Homology Theory, Second Edition	2006	Frances Kirwan Jonathan Woolf
+	Moduli Spaces: An Introduction	2006	Frances Kirwan
+	Moduli Spaces: An Introduction	2006	Frances Kirwan
+	Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations	2005	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan Jonathan Woolf
+ PDF Chat	Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface	2004	Richard Earl Frances Kirwan
+ PDF	Cohomology pairings on singular quotients in geometric invariant theory	2003	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan Jonathan Woolf
+	Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited	2003	Frances Kirwan
+	Cohomology of moduli spaces	2003	Frances Kirwan
+	Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface	2003	Richard Earl Frances Kirwan
+	Refinements of the Morse stratification of the normsquare of the moment map	2003	Frances Kirwan
+	Cohomology pairings on singular quotients in geometric invariant theory	2001	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan Jonathan Woolf
+	The Hodge Numbers of the Moduli Spaces of Vector Bundles over a Riemann surface	2000	Richard Earl Frances Kirwan
+ PDF Chat	The Pontryagin Rings of Moduli Spaces of Arbitrary Rank Holomorphic Bundles Over a Riemann Surface	1999	Richard Earl Frances Kirwan
+	Momentum maps and reduction in algebraic geometry	1998	Frances Kirwan
+ PDF	Intersection Theory on Moduli Spaces of Holomorphic Bundles of Arbitrary Rank on a Riemann Surface	1998	Lisa C. Jeffrey Frances Kirwan
+	Localization and the quantization conjecture	1997	Lisa C. Jeffrey Frances Kirwan
+	Square Roots and Seventeengons	1997	Frances Kirwan
+	The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface	1997	Richard Earl Frances Kirwan
+	Intersection pairings in moduli spaces of vector bundles of arbitrary rank over a Riemann surface	1996	Lisa C. Jeffrey Frances Kirwan
+	A Note on Localization and the Riemann-Roch Formula	1996	Lisa C. Jeffrey Frances Kirwan
+	ON LOCALIZATION AND RIEMANN-ROCH NUMBERS FOR SYMPLECTIC QUOTIENTS	1996	Lisa C. Jeffrey Frances Kirwan
+	Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface	1996	Lisa C. Jeffrey Frances Kirwan
+	Localization for nonabelian group actions	1995	Lisa C. Jeffrey Frances Kirwan
+ PDF	None	1995	Lisa C. Jeffrey Frances Kirwan
+	Intersection Pairings on Quotients and Moduli Spaces, and Witten’s Nonabelian Localization	1995	Frances Kirwan
+	On localization and Riemann-Roch numbers for symplectic quotients	1995	Lisa C. Jeffrey Frances Kirwan
+	Geometric Invariant Theory	1994	David Mumford John E. Fogarty Frances Kirwan
+	The method of covariants — 2nd construction	1994	David Mumford John E. Fogarty Frances Kirwan
+	The problem of moduli — 1st construction	1994	David Mumford John Fogarty Frances Kirwan
+	Fundamental theorems for the actions of reductive groups	1994	David Mumford John Fogarty Frances Kirwan
+	Abelian schemes	1994	David Mumford John E. Fogarty Frances Kirwan
+	Localization for nonabelian group actions	1993	Lisa C. Jeffrey Frances Kirwan
+ PDF	On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface	1992	Frances Kirwan
+ PDF	The Cohomology Rings of Moduli Spaces of Bundles over Riemann Surfaces	1992	Frances Kirwan
+	Differentials on Riemann surfaces	1992	Frances Kirwan
+	Complex Algebraic Curves	1992	Frances Kirwan
+	Algebra	1992	Frances Kirwan
+	Riemann surfaces	1992	Frances Kirwan
+ PDF	The cohomology rings of moduli spaces of bundles over Riemann surfaces	1992	Frances Kirwan
+	The Cohomology of Moduli Spaces of K3 Surfaces of Degree 2 (II)	1989	Frances Kirwan Ronnie Lee
+	Moduli spaces of degree d hypersurfaces in ℙn	1989	Frances Kirwan
+	The cohomology of moduli spaces of K3 surfaces of degree 2 (I)	1989	Frances Kirwan Ronnie Lee
+ PDF	Book Review: Differential geometry and topology	1988	Frances Kirwan
+ PDF	Intersection Homology and Torus Actions	1988	Frances Kirwan
+ PDF	Intersection homology and torus actions	1988	Frances Kirwan
+ PDF	Quotients of the complex ball by discrete groups	1987	Frances Kirwan Ronnie Lee Steven H. Weintraub
+ PDF	Some examples of minimally degenerate Morse functions	1987	Frances Kirwan
+	Rational intersection cohomology of quotient varieties. II	1987	Frances Kirwan
+	Morse functions for which the stationary phase approximation is exact	1987	Frances Kirwan
+	Rational intersection cohomology of quotient varieties	1986	Frances Kirwan
+	On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface	1986	Frances Kirwan
+	Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31	1985	Frances Kirwan
+	On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles	1985	Frances Kirwan
+	Partial Desingularisations of Quotients of Nonsingular Varieties and their Betti Numbers	1985	Frances Kirwan
+	Convexity properties of the moment mapping, III	1984	Frances Kirwan
+	Cohomology of Quotients in Symplectic and Algebraic Geometry	1984	Frances Kirwan

Common Coauthors

Coauthor	Papers Together
Gergely Bérczi	23
Andrew Dancer	19
Lisa C. Jeffrey	17
Brent Doran	13
Andrew Swann	10
Young‐Hoon Kiem	7
Jonathan Woolf	7
David Mumford	5
Richard Earl	5
Victoria Hoskins	4
Geoffrey Penington	3
Amihay Hanany	3
Thomas Hawes	3
Ronnie Lee	3
John E. Fogarty	3
Aravind Asok	2
John Fogarty	2
Gergely Bèrczi	2
Joshua James Jackson	2
Johan Martens	2
Antoine Bourget	1
Burt Totaro	1
Steven H. Weintraub	1
Zhenghao Zhong	1
Barry Simon	1
Markus Röser	1
Joshua J. Jackson	1
Peter Sarnak	1
Thomas Hawes	1
Julius F. Grimminger	1
Jonathan Fisher	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Cohomology of Quotients in Symplectic and Algebraic Geometry	1984	Frances Kirwan	45
+	Partial Desingularisations of Quotients of Nonsingular Varieties and their Betti Numbers	1985	Frances Kirwan	31
+	The Yang-Mills equations over Riemann surfaces	1983	Michael Atiyah Raoul Bott	31
+	Geometric Invariant Theory	1994	David Mumford John E. Fogarty Frances Kirwan	30
+ PDF	Towards Non-Reductive Geometric Invariant Theory	2007	Brent Doran Frances Kirwan	23
+	Convexity and Commuting Hamiltonians	1982	Michael Atiyah	20
+	Rational intersection cohomology of quotient varieties	1986	Frances Kirwan	19
+	Localization for nonabelian group actions	1995	Lisa C. Jeffrey Frances Kirwan	19
+ PDF Chat	Two dimensional gauge theories revisited	1992	Edward Witten	18
+	On the variation in the cohomology of the symplectic form of the reduced phase space	1982	J. J. Duistermaat Gerrit Heckman	15
+	The moment map and equivariant cohomology	1984	Michael Atiyah R. Bott	14
+	Geometric invariant theory for general algebraic groups	1985	Amassa Fauntleroy	13
+	Geometric Quotients of Unipotent Group Actions	1993	Gert–Martin Greuel Gerhard Pfister	13
+	Categorical quotients of certain algebraic group actions	1983	Amassa Fauntleroy	13
+ PDF	Intersection Theory on Moduli Spaces of Holomorphic Bundles of Arbitrary Rank on a Riemann Surface	1998	Lisa C. Jeffrey Frances Kirwan	13
+ PDF	Conformal field theory and the cohomology of the moduli space of stable bundles	1992	Michael Thaddeus	12
+	Lectures on Invariant Theory	2003	Igor Dolgachev	11
+	Nondegenerate Critical Manifolds	1954	Raoul Bott	11
+	Symplectic Techniques in Physics	1984	Victor Guillemin Shlomo Sternberg	11
+ PDF Chat	Quotient Spaces Modulo Algebraic Groups	1997	Janós Kollár	11
+ PDF	Algebraic Homogeneous Spaces and Invariant Theory	1997	Frank D. Grosshans	11
+	On the cohomology groups of moduli spaces of vector bundles on curves	1975	G. Harder M. S. Narasimhan	10
+	On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles	1985	Frances Kirwan	10
+	Poincar� polynomials of the variety of stable bundles	1975	Usha V. Desale S. Ramanan	10
+ PDF	Variation of geometric invariant theory quotients	1998	Igor V. Dolgachev Yi Hu	10
+	On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface	1986	Frances Kirwan	10
+ PDF	Cohomology pairings on singular quotients in geometric invariant theory	2003	Lisa C. Jeffrey Young‐Hoon Kiem Frances Kirwan Jonathan Woolf	10
+ PDF	The cohomology rings of moduli spaces of bundles over Riemann surfaces	1992	Frances Kirwan	10
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	10
+	Quotients by Groupoids	1997	Seán Keel Шигефуми Мори	10
+	The invariants of unipotent radicals of parabolic subgroups	1983	Frank D. Grosshans	10
+	On the Chow Ring of a Geometric Quotient	1989	Geir Ellingsrud Stein Arild Strømme	10
+	Convexity properties of the moment mapping. II	1984	Victor Guillemin S. Sternberg	9
+	Geometric invariant theory and applications to moduli problems	1983	D. Gieseker	9
+	Extended moduli spaces of flat connections on Riemann surfaces	1994	Lisa C. Jeffrey	9
+	Cohomology rings of symplectic quotients.	1995	Jaap Kalkman	9
+	Representation Theory and Complex Geometry	2009	Neil Chriss Victor Ginzburg	9
+	The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology.	1996	Victor Guillemin Jaap Kalkman	8
+ PDF	Geometric invariant theory and flips	1996	Michael Thaddeus	8
+	Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane	1996	Yum-Tong Siu Sai-Kee Yeung	8
+	Symplectic quotients by a nonabelian group and by its maximal torus	2000	Shaun Martin	8
+	Orbites Coadjointes et Cohomologie Équivariante	1990	Michel Duflo Michèle Vergne	8
+	The decomposition and specialization of algebraic families of vector bundles	1977	Stephen S. Shatz	7
+	Projective completions of graded unipotent quotients	2016	Gergely Bérczi Brent Doran Thomas Hawes Frances Kirwan	7
+	Intersection homology II	1983	Mark Goresky Robert Macpherson	7
+ PDF	Implosion for hyperkähler manifolds	2013	Andrew Dancer Frances Kirwan Andrew Swann	7
+	A hyperkahler structure on the cotangent bundle of a complex Lie group	2004	P. B. Kronheimer	7
+	Uniform instability in reductive groups.	1978	Wim H. Hesselink	7
+	Heat Kernels and Dirac Operators	1992	Nicole Berline Ezra Getzler Michèle Vergne	7
+ PDF Chat	Instability in Invariant Theory	1978	George R. Kempf	7