Graeme Wilkin

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Flow lines on the moduli space of rank $2$ twisted Higgs bundles	2024	Graeme Wilkin
+	Convolution for quiver varieties via cup product on a Morse complex	2023	Graeme Wilkin
+ PDF Chat	Fractional quantum numbers, complex orbifolds and noncommutative geometry	2021	Varghese Mathai Graeme Wilkin
+	Action of the mapping class group on character varieties and higgs bundles	2020	Oscar García‐Prada Graeme Wilkin
+ PDF Chat	The reverse Yang–Mills–Higgs flow in a neighbourhood of a critical point	2020	Graeme Wilkin
+ PDF Chat	Action of the Mapping Class Group on Character Varieties and Higgs Bundles	2020	Oscar García‐Prada Graeme Wilkin
+ PDF Chat	Fractional quantum numbers via complex orbifolds	2019	Varghese Mathai Graeme Wilkin
+	Local behaviour of the gradient flow of an analytic function near the unstable set of a critical point	2019	Graeme Wilkin
+ PDF Chat	Equivariant control data and neighborhood deformation retractions	2019	Markus J. Pflaum Graeme Wilkin
+	Local behaviour of the gradient flow of an analytic function near the unstable set of a critical point	2019	Graeme Wilkin
+ PDF Chat	Conditions of smoothness of moduli spaces of flat connections and of character varieties	2018	Nan-Kuo Ho Graeme Wilkin Siye Wu
+ PDF Chat	Higgs bundles over cell complexes and representations of finitely presented groups	2018	Georgios Daskalopoulos Chikako Mese Graeme Wilkin
+	Analytic convergence of harmonic metrics for parabolic Higgs bundles	2018	Se‐Min Kim Graeme Wilkin
+ PDF Chat	Hitchin’s equations on a nonorientable manifold	2018	Nan-Kuo Ho Graeme Wilkin Siye Wu
+ PDF Chat	Equivariant Morse Theory for the Norm-Square of a Moment Map on a Variety	2017	Graeme Wilkin
+	Moment map flows and the Hecke correspondence for quivers	2017	Graeme Wilkin
+	Equivariant control data and neighborhood deformation retractions	2017	Markus J. Pflaum Graeme Wilkin
+	Equivariant Morse theory for the norm-square of a moment map on a variety	2017	Graeme Wilkin
+	Equivariant Morse theory for the norm-square of a moment map on a variety	2017	Graeme Wilkin
+	Equivariant control data and neighborhood deformation retractions	2017	Markus J. Pflaum Graeme Wilkin
+	Conditions of smoothness of moduli spaces of flat connections and of representation varieties	2016	Nan-Kuo Ho Graeme Wilkin Siye Wu
+	An algebraic classification of Yang-Mills-Higgs flow lines	2016	Graeme Wilkin
+	The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point	2016	Graeme Wilkin
+	Conditions of smoothness of moduli spaces of flat connections and of character varieties	2016	Nan-Kuo Ho Graeme Wilkin Siye Wu
+	The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point	2016	Graeme Wilkin
+	Action of the mapping class group on character varieties and Higgs bundles	2016	Oscar García‐Prada Graeme Wilkin
+	Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes	2014	Indranil Biswas Graeme Wilkin
+	Anti-holomorphic involutive isometry of hyper-K\"ahler manifolds and branes	2014	Indranil Biswas Graeme Wilkin
+	Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes	2014	Indranil Biswas Graeme Wilkin
+	MORSE THEORY, HIGGS FIELDS, AND YANG-MILLS-HIGGS FUNCTIONALS	2013	Steven B. Bradlow Graeme Wilkin
+	Moment map flows and the Hecke correspondence for quivers	2013	Graeme Wilkin
+	Morse Theory, Higgs fields and Yang-Mills-Higgs functionals	2013	Steven B. Bradlow Graeme Wilkin
+	Moment map flows and the Hecke correspondence for quivers	2013	Graeme Wilkin
+	Higgs bundles over a nonorientable surface	2012	Nan-Kuo Ho Graeme Wilkin
+ PDF Chat	Cohomology of U(2,1) representation varieties of surface groups	2012	Richard Wentworth Graeme Wilkin
+ PDF Chat	Morse theory, Higgs fields, and Yang–Mills–Higgs functionals	2012	Steven B. Bradlow Graeme Wilkin
+	Hitchin's equations on a nonorientable manifold	2012	Nan-Kuo Ho Graeme Wilkin Siye Wu
+ PDF Chat	Morse theory and stable pairs	2011	Richard Wentworth Graeme Wilkin
+ PDF Chat	Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles	2011	Georgios Daskalopoulos Jonathan Weitsman Richard Wentworth Graeme Wilkin
+ PDF Chat	Morse theory of the moment map for representations of quivers	2010	Megumi Harada Graeme Wilkin
+ PDF Chat	HOMOTOPY GROUPS OF MODULI SPACES OF STABLE QUIVER REPRESENTATIONS	2010	Graeme Wilkin
+ PDF Chat	Morse theory for the space of Higgs G–bundles	2010	Indranil Biswas Graeme Wilkin
+	Morse theory and stable pairs	2010	Richard Wentworth Graeme Wilkin
+	Morse theory for the space of Higgs G-bundles	2010	Indranil Biswas Graeme Wilkin
+ PDF Chat	Cohomology of $SL(2,C)$ Character Varieties of Surface Groups and the Action of the Torelli Group	2010	Georgios Daskalopoulos Richard Wentworth Graeme Wilkin
+	Morse theory for the space of Higgs G-bundles	2010	Indranil Biswas Graeme Wilkin
+	Morse theory and stable pairs	2010	Richard Wentworth Graeme Wilkin
+	THE TOPOLOGY OF THE SPACE OF STRICTLY STABLE REPRESENTATIONS OF A QUIVER	2009	Graeme Wilkin
+	Homotopy groups of moduli spaces of stable quiver representations	2009	Graeme Wilkin
+	Cohomology of SL(2,C) character varieties of surface groups and the action of the Torelli group	2008	Georgios Daskalopoulos Richard Wentworth Graeme Wilkin
+ PDF Chat	Morse theory for the space of Higgs bundles	2008	Graeme Wilkin
+	Morse theory of the moment map for representations of quivers	2008	Megumi Harada Graeme Wilkin
+	Cohomology of SL(2,C) character varieties of surface groups and the action of the Torelli group	2008	Georgios Daskalopoulos Richard Wentworth Graeme Wilkin
+	Morse Theory and Hyperkahler Kirwan Surjectivity for Higgs Bundles	2007	Georgios Daskalopoulos Jonathan Weitsman Richard Wentworth Graeme Wilkin
+	Morse Theory and Hyperkahler Kirwan Surjectivity for Higgs Bundles	2007	Γεώργιος Δασκαλόπουλος Jonathan Weitsman Richard Wentworth Graeme Wilkin
+	An analytic stratification of the space of Higgs bundles	2006	Graeme Wilkin
+	Morse Theory for the Space of Higgs Bundles	2006	Graeme Wilkin
+	$B$ Decays at the LHC	2000	Patricia Ball Robert Fleischer P. Vikas Graeme Wilkin J. T. Baines P. Bartalini Μ. Beneke Gerhard Buchalla I. Caprini F. Charles

Common Coauthors

Coauthor	Papers Together
Richard Wentworth	10
Indranil Biswas	6
Nan-Kuo Ho	6
Georgios Daskalopoulos	6
Siye Wu	5
Markus J. Pflaum	3
Óscar García-Prada	3
Jonathan Weitsman	3
Steven B. Bradlow	3
Megumi Harada	2
Varghese Mathai	2
O. Schneider	1
A. Nisati	1
N. Zaitsev	1
Joaquim Matias	1
L. Lello uch	1
S. Mele	1
Fulvia De Fazio	1
Mikołaj Misiak	1
P. Iengo	1
P. Eerola	1
P. Koppenburg	1
F. Rizatdinova	1
Γεώργιος Δασκαλόπουλος	1
Alexander Khodjamirian	1
Y. Coadou	1
N. Labanca	1
A. Starodumov	1
B. Epp	1
J. T. Baines	1
E. Polycarpo	1
A. Nikit	1
N. Nikitin	1
D. R W. Ruckstuhl	1
Robert Fleischer	1
C. H. Shepherd-Themistocleous	1
Gerhard Buchalla	1
Amol Dighe	1
L. P. Guy	1
Se‐Min Kim	1
N.V. Stepanov	1
R. W. L. Jones	1
N. Ellis	1
J. Damet	1
Igor Gavrilenko	1
Z. Xie	1
E. Kneringer	1
P. Colrain	1
M. Lehto	1
P. Bartalini	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Self-Duality Equations on a Riemann Surface	1987	Nigel Hitchin	23
+	The Yang-Mills equations over Riemann surfaces	1983	Michael Atiyah Raoul Bott	22
+ PDF Chat	The topology of the space of stable bundles on a compact Riemann surface	1992	Georgios Daskalopoulos	21
+ PDF Chat	Morse theory for the space of Higgs bundles	2008	Graeme Wilkin	16
+	Asymptotics for a Class of Non-Linear Evolution Equations, with Applications to Geometric Problems	1983	Leon Simon	14
+ PDF Chat	Higgs bundles and local systems	1992	Carlos Simpson	14
+	Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles	1985	Simon Donaldson	14
+ PDF Chat	Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization	1988	Carlos Simpson	13
+	Twisted Harmonic Maps and the Self-Duality Equations	1987	Simon Donaldson	12
+ PDF Chat	Flat $G$-bundles with canonical metrics	1988	Kevin Corlette	12
+	On the Yang-Mills heat equation in two and three dimensions.	1992	Johan Råde	12
+	Cohomology of Quotients in Symplectic and Algebraic Geometry	1984	Frances Kirwan	9
+ PDF Chat	Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization	1988	Carlos Simpson	9
+	Space of Unitary Vector Bundles on a Compact Riemann Surface	1967	C. S. Seshadri	8
+	On the cohomology groups of moduli spaces of vector bundles on curves	1975	G. Harder M. S. Narasimhan	7
+ PDF Chat	Special metrics and stability for holomorphic bundles with global sections	1991	Steven B. Bradlow	7
+	Nondegenerate Critical Manifolds	1954	Raoul Bott	7
+ PDF Chat	Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles	2004	Tamás Hausel Michael Thaddeus	7
+	Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras	1994	Hiraku Nakajima	7
+ PDF Chat	Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles	2011	Georgios Daskalopoulos Jonathan Weitsman Richard Wentworth Graeme Wilkin	7
+ PDF Chat	None	2001	William Crawley-Boevey	7
+ PDF Chat	Convergence properties of the Yang-Mills flow on Kähler surfaces	2004	Georgios Daskalopoulos Richard Wentworth	7
+	Self-duality in four-dimensional Riemannian geometry	1978	Michael Atiyah Nigel Hitchin I. M. Singer	6
+	Riemannian Geometry and Geometric Analysis	1998	Jürgen Jost	6
+ PDF Chat	The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli	2003	Markus Reineke	5
+	On the existence of hermitian-yang-mills connections in stable vector bundles	1986	Karen Uhlenbeck Shing‐Tung Yau	5
+	None	2001	Min-Chun Hong	5
+	Convexity Properties of the Moment Mapping Re-examined	1998	Reyer Sjamaar	5
+ PDF Chat	THE BETTI NUMBERS OF THE MODULI SPACE OF STABLE RANK 3 HIGGS BUNDLES ON A RIEMANN SURFACE	1994	Peter B. Gothen	5
+ PDF Chat	Electric-magnetic duality and the geometric Langlands program	2007	Anton Kapustin Edward Witten	5
+ PDF Chat	A new proof of a theorem of Narasimhan and Seshadri	1983	Simon Donaldson	5
+ PDF Chat	MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS	1994	Alastair King	5
+	Lie groups and teichmüller space	1992	Nigel Hitchin	5
+	On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface	1986	Frances Kirwan	5
+ PDF Chat	Stable pairs, linear systems and the Verlinde formula	1994	Michael Thaddeus	5
+	Conjugacy classes of n-tuples in Lie algebras and algebraic groups	1988	R. W. Richardson	5
+	Lie Groups Beyond an Introduction	1996	Anthony W. Knapp	4
+	The symplectic nature of fundamental groups of surfaces	1984	William M. Goldman	4
+	The decomposition and specialization of algebraic families of vector bundles	1977	Stephen S. Shatz	4
+	Stable bundles and integrable systems	1987	Nigel Hitchin	4
+	Connections withL P bounds on curvature	1982	Karen Uhlenbeck	4
+	The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations	2009	Oscar García‐Prada Peter B. Gothen Ignasi Mundet i Riera	4
+	The Geometry of Moduli Spaces of Sheaves	1997	Daniel Huybrechts Manfred Lehn	4
+	Geometric Invariant Theory and Decorated Principal Bundles	2008	Alexander Schmitt	4
+	Birational equivalences of vortex moduli	1996	Steven B. Bradlow Georgios Daskalopoulos Richard Wentworth	4
+ PDF Chat	Morse theory for the space of Higgs G–bundles	2010	Indranil Biswas Graeme Wilkin	4
+	Symmetric products of an algebraic curve	1962	I. G. Macdonald	4
+ PDF Chat	Morse theory of the moment map for representations of quivers	2010	Megumi Harada Graeme Wilkin	4
+ PDF Chat	Stability and isolation phenomena for Yang-Mills fields	1981	Jean-Pierre Bourguignon H. Blaine Lawson	4
+	Stable and Unitary Vector Bundles on a Compact Riemann Surface	1965	M. S. Narasimhan C. S. Seshadri	4