Hitchin components for orbifolds - Archive ouverte du site Alsace
Article Dans Une Revue Journal of the European Mathematical Society Année : 2022

Hitchin components for orbifolds

Résumé

We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of higher Teichmüller spaces. We show that the Hitchin component of an orbifold group is homeomorphic to an open ball and we compute its dimension explicitly. We then give applications to the study of the pressure metric, cyclic Higgs bundles, and the deformation theory of real projective structures on 3-manifolds.
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hal-04109207 , version 1 (13-09-2024)

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Daniele Alessandrini, Gye-Seon Lee, Florent Schaffhauser. Hitchin components for orbifolds. Journal of the European Mathematical Society, 2022, 25 (4), pp.1285-1347. ⟨10.4171/JEMS/1210⟩. ⟨hal-04109207⟩
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