activity
20062024
most citedGenerators, Relations and Symmetries in Pairs of 3x3 Unimodular Matrices

61 citations · 478 across the 34 of their papers we have counts for

collaborators

34 papers

math.GT2024★ 1 cited

Character Varieties of Generalized Torus Knot Groups

Carlos Florentino, Sean Lawton

Given , let be a group presentable as $$\left\langle γ_{1},\ldots,γ_{r}\:|\:γ_{1}^{n_{1}}=γ_{2}^{n_{2}}=\cdots=γ_{r…

math.DS2022★ 1 cited

Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus

Giovanni Forni, William Goldman, Sean Lawton +1

Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic elem…

math.DS2021★ 3 cited

Dynamics on nilpotent character varieties

Jean-Philippe Burelle, Sean Lawton

Let R(N,G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected compact Lie group G, and let X(N,…

math.AG2021★ 1 cited

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…

math.AG2021★ 3 cited

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…

math.GR2020★ 5 cited

Flawed groups and the topology of character varieties

Carlos Florentino, Sean Lawton

A finitely presented group F is called flawed if Hom(F,G)//G deformation retracts onto its subspace Hom(F,K)/K for reductive affine algebraic groups G and maximal compact subgroups…