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Gadre, Vaibhav; Schleimer, Saul (2014)
Publisher: European Mathematical Society
Languages: English
Types: Article
Subjects: QA, 57M99 (Primary), 30F60, 20F65 (Secondary), Mathematics - Geometric Topology

Classified by OpenAIRE into

arxiv: Mathematics::Geometric Topology
Identifiers:doi:10.4171/GGD/382
Suppose $\tau$ is a train track on a surface $S$. Let $C(\tau)$ be the set of isotopy classes of simple closed curves carried by $\tau$. Masur and Minsky [2004] prove $C(\tau)$ is quasi-convex inside the curve complex $C(S)$. We prove the complement, $C(S) - C(\tau)$, is quasi-convex.

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