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arXiv · 2210.05292

Thurston's asymmetric metrics for Anosov representations

León Carvajales·Xian Dai·Beatrice Pozzetti·Anna Wienhard
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Abstract

We provide a good dynamical framework allowing to generalize Thurston's asymmetric metric and the associated Finsler norm from Teichm\"uller space to large classes of Anosov representations. In many cases, including the space of Hitchin representations, this gives a (possibly asymmetric) Finsler distance. In some cases we explicitly compute the associated Finsler norm.

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León Carvajales, Xian Dai, Beatrice Pozzetti, Anna Wienhard. 2022-10-11. Thurston's asymmetric metrics for Anosov representations. https://arxiv.org/abs/2210.05292

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