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math.GT2003★ 12 cited
The Pants Complex Has Only One End
Howard Masur, Saul Schleimer
The authors prove that for a closed surface of genus at least 3, the graph of pants decompositions has only one end.
math.GT2003
Quasiconvexity in the curve complex
Howard A. Masur, Yair N. Minsky
Let S be the boundary of a handlebody M. We prove that the set of curves in S that are boundaries of disks in M, considered as a subset of the complex of curves of S, is quasi-conv…
math.GT1998
Geometry of the complex of curves II: Hierarchical structure
Howard A. Masur, Yair N. Minsky
This paper continues a geometric study of Harvey's Complex of Curves, whose ultimate goal is to apply the theory of hyperbolic spaces and groups to algorithmic questions for the Ma…