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math.DS2022★ 1 cited
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…
math.DS2021★ 3 cited
Dynamics on nilpotent character varieties
Jean-Philippe Burelle, Sean Lawton
Let R(N,G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected compact Lie group G, and let X(N,…
math.DS2019★ 7 cited
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…