3 papers
math.GT2026
Limit cones of multi-Fuchsian representations
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We study the set of normalized multi-lengths for representations of closed surface groups and free groups into whose projections to $\mathrm{PSL}_2\m…
math.GR2025
Combination theorems in convex projective geometry
Jeffrey Danciger, François Guéritaud, Fanny Kassel
We prove a general combination theorem for discrete subgroups of preserving properly convex open subsets in the projective space $\mathbb{P}(\mathbb{R}…
math.DG2025
Polyhedral realisations of finite arc complexes using strip deformations
François Guéritaud, Pallavi Panda
We study infinitesimal deformations of complete hyperbolic surfaces with boundary and with ideal vertices, possibly decorated with horoballs. ``Admissible'' deformations are the on…