Gadre, V. and Schleimer, S. (2016) The curves not carried. Groups, Geometry and Dynamics, 10(4), pp. 1249-1264. (doi: 10.4171/GGD/382)
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Abstract
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 |
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Status: | Published |
Refereed: | Yes |
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: | 1661-7207 |
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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