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

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

2011-04-15

arxiv.org/abs/1104.2983v1

Mathematics

General Topology

Scientific paper

We consider a planar surface \Sigma of infinite type which has the Thompson
group T as asymptotic mapping class group. We construct the asymptotic pants
complex C of \Sigma and 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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