Items where authors include "Wilkin, Graeme Peter Desmond"

Article

Wilkin, Graeme Peter Desmond orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (2020) Action of the mapping class group on character varieties and Higgs bundles. Documenta Mathematica. ISSN 1431-0635 (In Press)

Wilkin, Graeme Peter Desmond orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 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 orcid.org/0000-0002-1504-7720 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 orcid.org/0000-0002-1504-7720 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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (2010) HOMOTOPY GROUPS OF MODULI SPACES OF STABLE QUIVER REPRESENTATIONS. International Journal of Mathematics. p. 1219.

Wilkin, Graeme Peter Desmond orcid.org/0000-0002-1504-7720 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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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 orcid.org/0000-0002-1504-7720 (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.

Preprint

Wilkin, Graeme Peter Desmond orcid.org/0000-0002-1504-7720 (2023) Convolution for quiver varieties via cup product on a Morse complex. [Preprint]