Corpus ID: 119129079

Hitchin components for orbifolds

@article{Alessandrini2018HitchinCF,
  title={Hitchin components for orbifolds},
  author={D. Alessandrini and G. Lee and Florent Schaffhauser},
  journal={arXiv: Geometric Topology},
  year={2018}
}
  • D. Alessandrini, G. Lee, Florent Schaffhauser
  • Published 2018
  • Mathematics
  • arXiv: Geometric Topology
  • We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of higher Teichmuller 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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