Thurston's metric on Teichmüller space and isomorphisms between Fuchsian groups

Published 9 Oct 2012 in math.GT | (1210.2676v1)

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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