Minimal pseudo-anosov translation lengths on the complex of curves

Gadre, V. and Tsai, C.-y. (2011) Minimal pseudo-anosov translation lengths on the complex of curves. Geometry and Topology, 15(3), pp. 1297-1312. (doi: 10.2140/gt.2011.15.1297)

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Abstract

We establish bounds on the minimal asymptotic pseudo-Anosov translation lengths on the complex of curves of orientable surfaces. In particular, for a closed surface with genus g≥2g≥2, we show that there are positive constants a1<a2a1<a2 such that the minimal translation length is bounded below and above by a1/g2a1∕g2 and a2/g2a2∕g2.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gadre, Dr Vaibhav
Authors: Gadre, V., and Tsai, C.-y.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Geometry and Topology
Publisher:Geometry and Topology Publications
ISSN:1465-3060
ISSN (Online):1364-0380
Copyright Holders:Copyright © 2011 Mathematical Sciences Publishers
First Published:First published in Geometry and Topology 15(3):1297-1312
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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