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.
| Original language | English |
|---|---|
| Pages (from-to) | 1285-1347 |
| Number of pages | 63 |
| Journal | Journal of the European Mathematical Society |
| Volume | 25 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2023 |
Keywords
- Coxeter group
- Hitchin component
- Teichmüller space
- orbifold
- real projective structure
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