On the automorphism group of the asymptotic pants complex of a planar   surface of infinite type
  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. 
Ariadna Fossas (IF), Maxime Nguyen (IF)
math.GN math.GT