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

32 p, 460.2 KB

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