Items where authors include "Wilkin, Graeme Peter Desmond"

Article

Wilkin, Graeme Peter Desmond (2023) Local behaviour of the gradient flow of an analytic function near the unstable set of a critical point. Rocky Mountain Journal of Mathematics. ISSN 0035-7596 (In Press)

Mathai, Varghese and Wilkin, Graeme Peter Desmond (2021) Fractional quantum numbers, complex orbifolds and noncommutative geometry. Journal of Physics A: Mathematical and Theoretical. 314001. ISSN 1751-8113

Mathai, Varghese and Wilkin, Graeme Peter Desmond (2020) Fractional quantum numbers via complex orbifolds. Letters in Mathematical Physics. pp. 2473-2484. ISSN 1573-0530

Garcia-Prada, Oscar and Wilkin, Graeme Peter Desmond (2020) Action of the mapping class group on character varieties and Higgs bundles. Documenta Mathematica. ISSN 1431-0635 (In Press)

Wilkin, Graeme Peter Desmond (2020) The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point. Journal of Differential Geometry. pp. 111-174. ISSN 0022-040X

Wilkin, Graeme Peter Desmond and Pflaum, Markus (2019) Equivariant control data and neighbourhood deformation retractions. Methods and Applications of Analysis. pp. 13-36. ISSN 1073-2772

Ho, Nankuo, Wilkin, Graeme Peter Desmond and Wu, Siye (2018) Conditions of smoothness of moduli spaces of flat connections and of character varieties. Mathematische Zeitschrift. ISSN 1432-1823

Ho, Nankuo, Wilkin, Graeme Peter Desmond and Wu, Siye (2018) Hitchin's equations on a nonorientable manifold. Communications in Analysis and Geometry. pp. 857-886. ISSN 1019-8385

Daskalopoulos, Georgios, Mese, Chikako and Wilkin, Graeme Peter Desmond (2018) Higgs bundles over cell complexes and representations of finitely presented groups. Pacific Journal of Mathematics. pp. 31-55. ISSN 0030-8730

Kim, Semin and Wilkin, Graeme Peter Desmond (2018) Analytic convergence of harmonic metrics for parabolic Higgs bundles. Journal of Geometry and Physics. pp. 55-67. ISSN 0393-0440

Wilkin, Graeme Peter Desmond (2017) Equivariant Morse theory for the norm-square of a moment map on a variety. International Mathematics Research Notices. 4730–4763. ISSN 1687-0247

Wilkin, Graeme Peter Desmond (2017) Moment map flows and the Hecke correspondence for quivers. Advances in Mathematics. pp. 730-794. ISSN 0001-8708

Biswas, Indranil and Wilkin, Graeme Peter Desmond (2014) Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes. Journal of Geometry and Physics. pp. 52-55. ISSN 0393-0440

Wentworth, Richard and Wilkin, Graeme Peter Desmond (2012) Cohomology of U(2,1) representation varieties of surface groups. Proceedings of the London Mathematical Society. pp. 445-476. ISSN 1460-244X

Bradlow, Steven and Wilkin, Graeme Peter Desmond (2012) Morse theory, Higgs fields, and Yang–Mills–Higgs functionals. Journal of Fixed Point Theory and Applications. pp. 1-41. ISSN 1661-7738

Daskalopoulos, Georgios, Weitsman, Jonathan, Wentworth, Richard et al. (1 more author) (2011) Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles. Journal of Differential Geometry. pp. 81-116. ISSN 0022-040X

Wilkin, Graeme Peter Desmond (2010) HOMOTOPY GROUPS OF MODULI SPACES OF STABLE QUIVER REPRESENTATIONS. International Journal of Mathematics. p. 1219.

Wilkin, Graeme Peter Desmond and Harada, Megumi (2010) Morse theory of the moment map for representations of quivers. Geometriae Dedicata. pp. 307-353. ISSN 1572-9168

Biswas, Indranil and Wilkin, Graeme Peter Desmond (2010) Morse theory for the space of Higgs G–bundles. Geometriae Dedicata. pp. 189-203. ISSN 1572-9168

Daskalopoulos, Georgios, Wentworth, Richard and Wilkin, Graeme Peter Desmond (2010) Cohomology of SL(2,C) Character Varieties of Surface Groups and the Action of the Torelli Group. Asian Journal of Mathematics. pp. 359-384. ISSN 1093-6106

Wilkin, Graeme Peter Desmond (2008) Morse theory for the space of Higgs bundles. Communications in Analysis and Geometry. pp. 283-332. ISSN 1019-8385

Book Section

Wentworth, Richard and Wilkin, Graeme Peter Desmond (2011) Morse theory and stable pairs. In: Bielawski, Roger, Houston, Kevin and Speight, Martin, (eds.) Variation problems in differential geometry. Cambridge University Press , pp. 142-180.