48 citations · 79 across the 21 of their papers we have counts for
24 papers
The topological Ax--Lindemann theorem for the complex hyperbolic space
François Labourie, Shahar Mozes
In the case of the complex hyperbolic space, we establish a version of the hyperbolic Ax--Lindemann Theorem for the topological closure rather than the Zariski closure. Our approac…
Lorentz--Epstein surfaces and a Liouville action for positive curves
François Labourie, Jérémy Toulisse, Yilin Wang
We investigate and define in this paper, in the context of the correspondence between anti-de Sitter -space and -conformal metrics, the analogs of $\cW$-volume, Epstein s…
Ghost polygons, Poisson bracket and convexity
Martin Bridgeman, François Labourie
The moduli space of Anosov representations of a surface group in a semisimple group, which is an open set in the character variety, admits many more natural functions than the regu…
Positivity and representations of surface groups
Olivier Guichard, François Labourie, Anna Wienhard
In arXiv:1802.02833 Guichard and Wienhard introduced the notion of -positivity, a generalization of Lusztig's total positivity to real Lie groups that are not necessarily split.…
Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces
François Labourie, Jérémy Toulisse
We study in this paper quasiperiodic maximal surfaces in pseudo-hyperbolic spaces and show that they are characterised by a curvature condition, Gromov hyperbolicity or conformal h…
Plateau Problems for Maximal Surfaces in Pseudo-Hyperbolic Spaces
François Labourie, Jérémy Toulisse, Michael Wolf
We define and prove the existence of unique solutions of an asymptotic Plateau problem for spacelike maximal surfaces in the pseudo-hyperbolic space of signature (2, n): the bounda…