The curves not carried

Gadre, V. and Schleimer, S. (2016) The curves not carried. Groups, Geometry and Dynamics, 10(4), pp. 1249-1264. (doi: 10.4171/GGD/382)

126925.pdf - Accepted Version



Suppose t is a train track on a surface S. Let C(t) be the set of isotopy classes of simple closed curves carried by t. Masur and Minsky prove that C(t) is quasi-convex inside the curve complex C(S). We prove that the complement, C(S) - C(t), is quasi-convex.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Gadre, Dr Vaibhav
Authors: Gadre, V., and Schleimer, S.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Groups, Geometry and Dynamics
Publisher:European Mathematical Society
ISSN (Online):1661-7215
Copyright Holders:Copyright © 2016 European Mathematical Society
First Published:First published in Groups, Geometry and Dynamics 10(4):1249-1264
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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