124 citations · 290 across the 37 of their papers we have counts for
5 papers · 1 filter
Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus
Giovanni Forni, William Goldman, Sean Lawton +1
Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic elem…
The mapping class group action on SU(3)-character varieties
William M. Goldman, Sean Lawton, Eugene Z. Xia
Let be a compact orientable surface of genus with boundary component. The mapping class group of acts on the SU(3)-character variety of . We show that th…
Mixing Flows on Moduli Spaces of Flat Bundles over Surfaces
Giovanni Forni, William M. Goldman
We extend Teichmueller dynamics to a flow on the total space of a flat bundle of deformation spaces of representations of the fundamental group of a fixed surface S in a Lie group…
Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane
William Goldman, Greg McShane, George Stantchev +1
The automorphisms of a two-generator free group acting on the space of orientation-preserving isometric actions of on hyperbolic 3-space defines a dynamical system. Those actions w…
Action of the Johnson-Torelli group on Representation Varieties
William M. Goldman, Eugene Z. Xia
Let Σbe a compact orientable surface with genus g and n boundary components B = (B_1,..., B_n). Let c = (c_1,...,c_n) in [-2,2]^n. Then the mapping class group MCG of Σacts on the…