Research output per year
Research output per year
- 21 results
Search results
-
2023
Local behaviour of the gradient flow of an analytic function near the unstable set of a critical point
Wilkin, G. P. D., 10 Aug 2023, (Accepted/In press) In: Rocky Mountain Journal of Mathematics. 6 p.Research output: Contribution to journal › Article › peer-review
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2021
Fractional quantum numbers, complex orbifolds and noncommutative geometry
Mathai, V. & Wilkin, G. P. D., 1 Jul 2021, In: Journal of Physics A: Mathematical and Theoretical. 54, 18 p., 314001.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2020
Action of the mapping class group on character varieties and Higgs bundles
Garcia-Prada, O. & Wilkin, G. P. D., 22 Jun 2020, (Accepted/In press) In: Documenta Mathematica. 28 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Fractional quantum numbers via complex orbifolds
Mathai, V. & Wilkin, G. P. D., 17 Oct 2020, In: Letters in Mathematical Physics. 109, 11, p. 2473-2484 12 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point
Wilkin, G. P. D., 7 Apr 2020, In: Journal of Differential Geometry. 115, 1, p. 111-174 64 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2019
Equivariant control data and neighbourhood deformation retractions
Wilkin, G. P. D. & Pflaum, M., 14 Nov 2019, In: Methods and Applications of Analysis. 26, 1, p. 13-36 24 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2018
Analytic convergence of harmonic metrics for parabolic Higgs bundles
Kim, S. & Wilkin, G. P. D., 1 Apr 2018, In: Journal of Geometry and Physics. 127, p. 55-67 13 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Conditions of smoothness of moduli spaces of flat connections and of character varieties
Ho, N., Wilkin, G. P. D. & Wu, S., 14 Nov 2018, (E-pub ahead of print) In: Mathematische Zeitschrift. 23 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Higgs bundles over cell complexes and representations of finitely presented groups
Daskalopoulos, G., Mese, C. & Wilkin, G. P. D., 1 May 2018, In: Pacific Journal of Mathematics. 296, 1, p. 31-55 25 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Hitchin's equations on a nonorientable manifold
Ho, N., Wilkin, G. P. D. & Wu, S., 6 Sept 2018, In: Communications in Analysis and Geometry. 26, 4, p. 857-886Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2017
Equivariant Morse theory for the norm-square of a moment map on a variety
Wilkin, G. P. D., 18 Nov 2017, In: International Mathematics Research Notices. 2019, 15, p. 4730–4763 34 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Moment map flows and the Hecke correspondence for quivers
Wilkin, G. P. D., 7 Nov 2017, In: Advances in Mathematics. 320, p. 730-794 65 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2014
Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes
Biswas, I. & Wilkin, G. P. D., 2 Nov 2014, In: Journal of Geometry and Physics. 88, p. 52-55 4 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2012
Cohomology of U(2,1) representation varieties of surface groups
Wentworth, R. & Wilkin, G. P. D., 11 Sept 2012, In: Proceedings of the London Mathematical Society. 106, 2, p. 445-476 32 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Morse theory, Higgs fields, and Yang–Mills–Higgs functionals
Bradlow, S. & Wilkin, G. P. D., 27 Mar 2012, In: Journal of Fixed Point Theory and Applications. 11, 1, p. 1-41 41 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2011
Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles
Daskalopoulos, G., Weitsman, J., Wentworth, R. & Wilkin, G. P. D., 1 Jan 2011, In: Journal of Differential Geometry. 87, 1, p. 81-116 36 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2010
Cohomology of SL(2,C) Character Varieties of Surface Groups and the Action of the Torelli Group
Daskalopoulos, G., Wentworth, R. & Wilkin, G. P. D., 1 Jan 2010, In: Asian Journal of Mathematics. 14, 3, p. 359-384 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
HOMOTOPY GROUPS OF MODULI SPACES OF STABLE QUIVER REPRESENTATIONS
Wilkin, G. P. D., 1 Sept 2010, In: International Journal of Mathematics. p. 1219 1238 p.Research output: Contribution to journal › Article › peer-review
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Morse theory for the space of Higgs G–bundles
Biswas, I. & Wilkin, G. P. D., 1 Feb 2010, In: Geometriae Dedicata. 149, 1, p. 189-203 15 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Morse theory of the moment map for representations of quivers
Wilkin, G. P. D. & Harada, M., 21 May 2010, In: Geometriae Dedicata. p. 307-353 47 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2008
Morse theory for the space of Higgs bundles
Wilkin, G. P. D., 1 Jan 2008, In: Communications in Analysis and Geometry. 16, 2, p. 283-332 50 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile