The automorphism group of the pants complex

2002/01/31 by Dan Margalit, Margalit, Dan
Mathematics · #57M07 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M07

paper · pdf · doi:10.48550/arxiv.math/0201319

24 Pages, 16 Figures http://www.math.uchicago.edu/~juggler/pants.ps

arxiv created 2002/01/31 · arxiv updated 2009/11/30

Abstract

We show that the automorphism group of the complex of pants decompositions for a surface is isomorphic to the mapping class group for that surface.

Related

• Automorphisms of the pants graph of a nonorientable surface
• Spaces of Pants Decompositions for Surfaces of Infinite Type
• On the automorphism group of the asymptotic pants complex of a planar surface of infinite type
• Compatible pants decompositions for SL₂(ℂ)-representations of surface groups
• On the Mapping class group of a genus 2 handlebody