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arXiv · 1911.11370

Symmetric differentials and the dimension of Hitchin components for orbi-curves

Florent Schaffhauser
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Abstract

This note is based on a talk given at the 2019 ISAAC Congress in Aveiro, Portugal. We give an expository account of joint work with Daniele Alessandrini and Gye-Seon Lee on Hitchin components for orbifold groups (arXiv:1811.05366), recasting part of it in the language of analytic orbi-curves. This reduces the computation of the dimension of the Hitchin component for orbifold groups to an application of the orbifold Riemann-Roch theorem.

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Florent Schaffhauser. 2019-11-26. Symmetric differentials and the dimension of Hitchin components for orbi-curves. https://arxiv.org/abs/1911.11370

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