Positivity, cross-ratios and the Collar Lemma

Autor:	Beyrer, Jonas, Guichard, Olivier, Labourie, François, Pozzetti, Beatrice, Wienhard, Anna
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	We prove that $\Theta$-positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are positive. As a consequence we deduce that $\Theta$-positive representations form closed subsets of the representation variety.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.06294 Zobrazit plný text záznamu View this record from Arxiv