Graeme Wilkin

activity

20062024

most citedAnalytic convergence of harmonic metrics for parabolic Higgs bundles

8 citations · 35 across the 18 of their papers we have counts for

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2024

Flow lines on the moduli space of rank $2$ twisted Higgs bundles

Graeme Wilkin

This paper studies the gradient flow lines for the $L^{2}$ norm square of the Higgs field defined on the moduli space of semistable rank $2$ Higgs bundles twisted by a line bundle of…

math.AG2018★ 3 cited

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…

math.AG2016

Action of the mapping class group on character varieties and Higgs bundles

Oscar Garcia-Prada, Graeme Wilkin

We consider the action of a finite subgroup of the mapping class group $M o d (S)$ of an oriented compact surface $S$ of genus $g \geq 2$ on the moduli space $R (S, G)$ of rep…

Flow lines on the moduli space of rank 2 twisted Higgs bundles

Fractional quantum numbers via complex orbifolds

Action of the mapping class group on character varieties and Higgs bundles

Flow lines on the moduli space of rank $2$ twisted Higgs bundles