1 citations · 1 across the 5 of their papers we have counts for
6 papers
Transcendence of simple geodesics on finite modular covers
Christopher-Lloyd Simon
The real projective line is the boundary of , a model of the hyperbolic plane whose space of geodesics iden…
The variety of group actions on all algebraic real hyperbolic spaces
Bruno Duchesne, Christopher-Lloyd Simon
For a cardinal , denote by the algebraic real hyperbolic space of dimension . For a topological group , we study the set of continuous representations $Γ\to…
Linking numbers of modular knots
Christopher-Lloyd Simon
The modular group PSL(2;Z) acts on the hyperbolic plane HP with quotient the modular surface M, whose unit tangent bundle U is a 3-manifold homeomorphic to the complement of the tr…
Conjugacy classes in PSL(2, K)
Christopher-Lloyd Simon
We first describe, over a field K of characteristic different from 2, the orbits for the adjoint actions of the Lie groups PGL(2, K) and PSL(2, K) on their Lie algebra sl(2, K). Wh…
Valuations on the character variety: Newton polytopes and Residual Poisson Bracket
Julien Marché, Christopher-Lloyd Simon
We study the space of measured laminations ML on a closed surface from the valuative point of view. We introduce and study a notion of Newton polytope for an algebraic function on…
Automorphisms of character varieties
Julien Marché, Christopher-Lloyd Simon
We show that the algebraic automorphism group of the SL(2,C) character variety of a closed orientable surface with negative Euler characteristic is a finite extension of its mappin…