Jonas BeyrerUNISTRA, Olivier GuichardUNISTRA, François LabourieUniCA, Beatrice Pozzetti, Anna Wienhard
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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.
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