8 citations · 35 across the 18 of their papers we have counts for
24 papers
Flow lines on the moduli space of rank twisted Higgs bundles
Graeme Wilkin
This paper studies the gradient flow lines for the norm square of the Higgs field defined on the moduli space of semistable rank Higgs bundles twisted by a line bundle of…
Convolution for quiver varieties via cup product on a Morse complex
Graeme Wilkin
Convolution in Borel-Moore homology plays an important role in Nakajima's construction of representations of the Heisenberg algebra and of modified enveloping algebras of Kac-Moody…
Fractional Quantum Numbers, Complex Orbifolds and Noncommutative Geometry
Varghese Mathai, Graeme Wilkin
This paper studies the conductance on the universal homology covering space of 2D orbifolds in a strong magnetic field, thereby removing the integrality constraint on the magne…
Local behaviour of the gradient flow of an analytic function near the unstable set of a critical point
Graeme Wilkin
This paper extends previous work from arxiv:1702.05223, which shows that the main theorem of Morse theory holds for a large class of functions on singular spaces, where the functio…
Fractional quantum numbers via complex orbifolds
Varghese Mathai, Graeme Wilkin
This paper studies both the conductance and charge transport on 2D orbifolds in a strong magnetic field. We consider a family of Landau Hamiltonians on a complex, compact 2D orbifo…
Equivariant control data and neighborhood deformation retractions
Markus J. Pflaum, Graeme Wilkin
In this article we study Whitney (B) regular stratified spaces with the action of a compact Lie group which preserves the strata. We prove an equivariant submersion theorem and…