8 citations · 35 across the 18 of their papers we have counts for
4 papers · 1 filter
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 of an oriented compact surface of genus on the moduli space of rep…
Conditions of smoothness of moduli spaces of flat connections and of character varieties
Nan-Kuo Ho, Graeme Wilkin, Siye Wu
We use gauge theoretic and algebraic methods to examine sufficient conditions for smooth points on the moduli space of flat connections on a compact manifold and on the character v…
Higgs bundles over cell complexes and representations of finitely generated groups
George Daskalopoulos, Chikako Mese, Graeme Wilkin
The purpose of this paper is to extend the Donaldson-Corlette theorem to the case of vector bundles over cell complexes. We define the notion of a vector bundle and a Higgs bundle…
The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point
Graeme Wilkin
The main result of this paper is a construction of solutions to the reverse Yang-Mills-Higgs flow converging in the topology to a critical point. The construction uses o…