14 citations · 14 across the 1 of their papers we have counts for
4 papers
Hitchin characters and geodesic laminations
Francis Bonahon, Guillaume Dreyer
For a closed surface S, the Hitchin component Hit_n(S) is a preferred component of the character variety consisting of group homomorphisms from the fundamental group pi_1(S) to the…
Thurston's cataclysms for Anosov representations
Guillaume Dreyer
Given an Anosov representation $ρ\colon π_1(S) \to \PSL_{n}(\mathbb{R})$ and a maximal geodesic lamination in a surface , we construct shear deformations along the leaves of…
Parametrizing Hitchin components
Francis Bonahon, Guillaume Dreyer
We construct a geometric, real analytic parametrization of the Hitchin component Hit_n(S) of the PSL_n(R)-character variety R_{PSL_n(R)}(S) of a closed surface S. The approach is e…
Length functions of Hitchin representations
Guillaume Dreyer
Given a Hitchin representation $ρ\colon π_1(S) \to \PSL_n(\mathbb{R})$, we construct continuous functions $\ell_i^ρ\colon \mathcal \CH(S) \to \mathbb{R}$ defined on the space o…