On the automorphism group of the asymptotic pants complex of a planar surface of infinite type

2011/04/15 by Ariadna Fossas, Maxime Nguyen, Fossas, Ariadna +1
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GN #math.GT

paper · pdf · doi:10.48550/arxiv.1104.2983

arxiv created 2011/04/15 · arxiv updated 2011/04/25

Abstract

We consider a planar surface Σof infinite type which has the Thompson group T as asymptotic mapping class group. We construct the asymptotic pants complex C of Σand prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C is an extension of the Thompson group T by Z/2Z.

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