Automorphisms groups of simplicial complexes of infinite type surfaces
Hernández Hernández, Jesús
Váldez, Ferran (Universidad Nacional Autónoma de México. Centro de Ciencias Matemáticas)
Date: |
2017 |
Abstract: |
Let S be an orientable surface of innite genus with a nite numberof boundary components. In this work we consider the curve complex C(S), the nonseparating curve complex N(S), and the Schmutz graph G(S) of S. When all topological ends of S carry genus, we show that all elements in the automorphismgroups Aut(C(S)), Aut(N(S)), and Aut(G(S)) are geometric, i. e. these groups are naturally isomorphic to the extended mapping class group MCG(S) of the innite surface S. Finally, we study rigidity phenomena within Aut(C(S)) and Aut(N(S)). |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Curve complex ;
Infinite type surface |
Published in: |
Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 51-82 (Articles) , ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/316078
DOI: 10.5565/PUBLMAT_61117_02
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Record created 2016-12-19, last modified 2022-09-04