124 citations · 290 across the 37 of their papers we have counts for
42 papers
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…
Proper actions of discrete groups of affine transformations
Jeffrey Danciger, Todd A. Drumm, William M. Goldman +1
In the early 1980's Margulis startled the world by showing the existence of proper affine actions of free groups on 3-space, answering a provocative and suggestive question Milnor…
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…
Tameness of Margulis space-times with parabolics
Suhyoung Choi, Todd Drumm, William Goldman
Let be a flat Lorentzian space of signature . A Margulis space-time is a noncompact complete flat Lorentzian -manifold with a free holonomy g…
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…
Einstein tori and crooked surfaces
Jean-Philippe Burelle, Virginie Charette, Dominik Francoeur +1
In hyperbolic space, the angle of intersection and distance classify pairs of totally geodesic hyperplanes. A similar algebraic invariant classifies pairs of hyperplanes in the Ein…