7 citations · 25 across the 8 of their papers we have counts for
9 papers
Cohomology of SL(2,C) character varieties of surface groups and the action of the Torelli group
Georgios D. Daskalopoulos, Richard A. Wentworth, Graeme Wilkin
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2,C) connections on a closed Riemann surface. We show that the trivial part of th…
Morse Theory and Hyperkahler Kirwan Surjectivity for Higgs Bundles
Georgios Daskalopoulos, Jonathan Weitsman, Richard Wentworth +1
This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a…
Harmonic Maps and Teichmueller Theory
Georgios D. Daskalopoulos, Richard A. Wentworth
This is a survey article to appear in the "Handbook on Teichmueller Theory".
On the Morgan-Shalen compactification of the SL(2,C) character varieties of surface groups
Georgios Daskalopoulos, Stamatis Dostoglou, Richard Wentworth
A gauge theoretic description of the Morgan-Shalen compactification of the $\SL$ character variety of the fundamental group of a hyperbolic surface is given in terms of a natural c…
Character varieties and harmonic maps to R-trees
Georgios Daskalopoulos, Stamatis Dostoglou, Richard Wentworth
We show that the Korevaar-Schoen limit of the sequence of equivariant harmonic maps corresponding to a sequence of irreducible representations of the fundamenta…
The Yang-Mills flow near the boundary of Teichmueller space
Georgios Daskalopoulos, Richard Wentworth
We study the behavior of the Yang-Mills flow for unitary connections on compact and non-compact oriented surfaces with varying metrics. The flow can be used to define a one dimensi…