Positivity, cross-ratios and the Collar Lemma
Autor: | Beyrer, Jonas, Guichard, Olivier, Labourie, François, Pozzetti, Beatrice, Wienhard, Anna |
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Rok vydání: | 2024 |
Předmět: | |
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 |
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