51 citations · 104 across the 3 of their papers we have counts for
4 papers
The topology of moduli spaces of free group representations
Carlos Florentino, Sean Lawton
For any complex affine reductive group G and a fixed choice of maximal compact subgroup K, we show that the G-character variety of a free group strongly deformation retracts to the…
Minimal Affine Coordinates for SL(3,C) Character Varieties of Free Groups
Sean Lawton
Let X be the moduli of SL(3,C) representations of a rank r free group. In this paper we determine minimal generators of the coordinate ring of X. This at once gives explicit global…
Poisson Geometry of SL(3,C)-Character Varieties Relative to a Surface with Boundary
Sean Lawton
The SL(3,C)-representation variety R of a free group F arises naturally by considering surface group representations for a surface with boundary. There is a SL(3,C)-action on the c…
Generators, Relations and Symmetries in Pairs of 3x3 Unimodular Matrices
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 geom…