arXiv:1703.10595 Abstract | arXiv Analytics

arXiv:1703.10595 [math.GT]Abstract References Reviews Resources

Uniform quasiconvexity of the disc graphs in the curve graphs

Published 2017-03-30Version 1

We give a proof that there exists a universal constant $K$ such that the disc graph associated to a surface $S$ forming a boundary component of a compact, orientable 3-manifold $M$ is $K$-quasiconvex in the curve graph of $S$. Our proof does not require the use of train tracks.

Comments: 8 pages, 3 figures

Categories: math.GT

Subjects: 20F65, 57M99

Keywords: curve graph, disc graph, uniform quasiconvexity, boundary component, universal constant

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