Thurston's metric on Teichm\"uller space and isomorphisms between Fuchsian groups

Athanase Papadopoulos; Weixu Su

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arXiv · 1210.2676

Thurston's metric on Teichm\"uller space and isomorphisms between Fuchsian groups

Athanase Papadopoulos·Weixu Su

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Abstract

The aim of this paper is to relate Thurston's metric on Teichm\"uller space to several ideas initiated by T. Sorvali on isomorphisms between Fuchsian groups. In particular, this will give a new formula for Thurston's asymmetric metric for surfaces with punctures. We also update some results of Sorvali on boundary isomorphisms of Fuchsian groups.

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Athanase Papadopoulos, Weixu Su. 2012-10-09. Thurston's metric on Teichm\"uller space and isomorphisms between Fuchsian groups. https://arxiv.org/abs/1210.2676

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