Hitchin components for orbifolds

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Abstract:

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.

SEEK ID: https://publications.h-its.org/publications/977

Research Groups: Groups and Geometry

Publication type: Journal

Journal: arXiV preprints

Citation: arXiV:1811.05366 [math.GT]

Date Published: 2018

URL: https://arxiv.org/abs/1811.05366

Registered Mode: imported from a bibtex file

Authors: Daniele Alessandrini, Gye-Seon Lee, Florent Schaffhauser

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