The Pants Complex Has Only One End

2003/12/19 by Howard Masur, Masur, Howard, Saul Schleimer +1
Mathematics · #57M07 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M07

paper · pdf · doi:10.48550/arxiv.math/0312385

6 pages

arxiv created 2003/12/19 · arxiv updated 2009/12/01

Abstract

The authors prove that for a closed surface of genus at least 3, the graph of pants decompositions has only one end.

Related

• Upper bound on distance in the pants complex
• The end of the curve complex
• Pants Decompositions of Surfaces
• Totally geodesic subgraphs of the pants complex
• Hyperbolic surfaces with long systoles that form a pants decomposition