61 citations · 478 across the 34 of their papers we have counts for
19 papers · 1 filter
Mixed Hodge structures on character varieties of nilpotent groups
Carlos Florentino, Sean Lawton, Jaime Silva
Let R be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected reductive complex affine algebraic gro…
Poisson maps between character varieties: gluing and capping
Indranil Biswas, Jacques Hurtubise, Lisa C. Jeffrey +1
Let G be a compact Lie group or a complex reductive affine algebraic group. We explore induced mappings between G-character varieties of surface groups by mappings between correspo…
Bad Representations and Homotopy of Character Varieties
Clément Guérin, Sean Lawton, Daniel Ramras
Let G be a connected reductive complex affine algebraic group, and let X denote the moduli space of G-valued representations of a rank r free group. We first characterize the singu…
Rank 1 character varieties of finitely presented groups
Caleb Ashley, Jean-Philippe Burelle, Sean Lawton
Let X(F,G) be the G-character variety of F where G is a rank 1 complex affine algebraic group and F is a finitely presentable discrete group. We describe an algorithm, which we imp…
Wonderful Compactification of Character Varieties
Indranil Biswas, Sean Lawton, Daniel Ramras
Using the wonderful compactification of a semisimple adjoint affine algebraic group G defined over an algebraically closed field k of arbitrary characteristic, we construct a natur…
Varieties of Characters
Sean Lawton, Adam S. Sikora
Let G be a connected reductive affine algebraic group. In this short note we define the "variety of G-characters" of a finitely generated group F and show that the quotient of the…