2000 character limit reached
On the automorphism group of the asymptotic pants complex of a planar surface of infinite type (1104.2983v1)
Published 15 Apr 2011 in math.GN and math.GT
Abstract: 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.