9 citations · 55 across the 23 of their papers we have counts for
24 papers
Flat connections and the commutator map for SU(2)
Nan-Kuo Ho, Lisa C. Jeffrey, Paul Selick +1
We study the topology of the SU(2)-representation variety of the compact oriented surface of genus 2 with one boundary component about which the holonomy is a generator of the cent…
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…
The SU(2)-character variety of the closed surface of genus 2
Nan-Kuo Ho, Lisa C. Jeffrey, Khoa Dang Nguyen +1
We study the symplectic geometry of the SU(2)-representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space wi…
The algebraic de Rham cohomology of representation varieties
Eugene Z. Xia
The SL(2,C)-representation varieties of punctured surfaces form natural families parameterized by holonomies at the punctures. In this paper, we first compute the loci where these…
Abelian and non-abelian cohomology
Eugene Z. Xia
We place the representation variety in the broader context of abelian and nonabelian cohomology. We outline the equivalent constructions of the moduli spaces of flat bundles, of sm…
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…