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…
SL(3,C)-Character Varieties and RP2-Structures on a Trinion
Sean Lawton
Denote the free group on two letters by F2 and the SL(3,C)-representation variety of F2 by R = Hom(F2, SL(3, C)). There is a SL(3,C)-action on the coordinate ring of R, and the geo…
Fundamental Group of Moduli Spaces of Representations
Indranil Biswas, Sean Lawton
Let S be a surface of genus g with n points removed, G a connected Lie group, and X(G) the moduli space of representations of the fundamental group of S into G. We compute the fund…
E-polynomial of the SL(3,C)-character variety of free groups
Sean Lawton, Vicente Muñoz
We compute the E-polynomial of the character variety of representations of a rank r free group in SL(3, C). Expanding upon existing techniques, we stratify the space of representat…