Quasiconvexity in the curve complex

Details Quasiconvexity in the curve complex Quasiconvexity in the curve complex

2003-07-07

arxiv.org/abs/math/0307083v1

Mathematics

Geometric Topology

11 pages, 2 figures

Scientific paper

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.

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