61 citations · 478 across the 34 of their papers we have counts for
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Homotopy type of free group character varieties
Ana Casimiro, Carlos Florentino, Sean Lawton +1
Let G be a real reductive algebraic group with maximal compact subgroup K, and let F be a rank r free group. Here, we summarize the construction of a natural strong deformation ret…
Fundamental Groups of Character Varieties: Surfaces and Tori
Indranil Biswas, Sean Lawton, Daniel Ramras
We compute the fundamental group of moduli spaces of Lie group valued representations of surface and torus groups.
Homotopy Groups of Free Group Character Varieties
Carlos Florentino, Sean Lawton, Daniel Ramras
Let G be a connected, complex reductive Lie group with maximal compact subgroup K, and let X denote the moduli space of G- or K-valued representations of a rank r free group. In th…
Topology of Moduli Spaces of Free Group Representations in Real Reductive Groups
Ana Casimiro, Carlos Florentino, Sean Lawton +1
Let be a real reductive algebraic group with maximal compact subgroup , and let be a rank free group. We show that the space of closed orbits in $\mathrm{Hom}(F_r,…
Covering spaces of character varieties
Sean Lawton, Daniel Ramras
Let F be a finitely generated discrete group. Given a covering map H to G of Lie groups with G either compact or complex reductive, there is an induced covering map Hom(F, H) to Ho…