4 papers · 1 filter
Classification of Weil-Petersson Isometries
Georgios Daskalopoulos, Richard Wentworth
This paper contains two main results. The first is the existence of an equivariant Weil-Petersson geodesic in Teichmueller space for any choice of pseudo-Anosov mapping class. As a…
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…