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arXiv:math/0307083 [math.GT]AbstractReferencesReviewsResources

Quasiconvexity in the curve complex

Howard A. Masur, Yair N. Minsky

Published 2003-07-07Version 1

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-convex.

Comments: 11 pages, 2 figures
Categories: math.GT
Subjects: 30F60, 57M99
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