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

The aim of this paper is to relate Thurston's metric on Teichmüller 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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Source https://hal.science/hal-00740320
Author Papadopoulos, Athanase, Su, Weixu
Maintainer CCSD
Last Updated October 31, 2026, 09:03 (UTC)
Created October 31, 2026, 09:03 (UTC)
Identifier hal-00740320
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut de Recherche Mathématique Avancée (IRMA) ; Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)
creator Papadopoulos, Athanase
date 2012-10-31T00:00:00
harvest_object_id f51146ab-bef1-4513-96f1-61cb871cd9fc
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-04T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1210.2676
set_spec type:UNDEFINED