On the automorphism group of the asymptotic pants complex of a planar surface of infinite type
Abstract
We consider a planar surface of infinite type which has the Thompson group T as asymptotic mapping class group. We construct the asymptotic pants complex C of 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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