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Minimal pseudo-Anosov translation lengths on the complex of curves
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Gadre, Vaibhav and Tsai, Chia-Yen (2011) Minimal pseudo-Anosov translation lengths on the complex of curves. Geometry & Topology, Vol.15 (No.3). pp. 1297-1312. doi:10.2140/gt.2011.15.1297 ISSN 1364-0380.
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Official URL: http://dx.doi.org/10.2140/gt.2011.15.1297
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 ≥ 2, we show that there are positive constants a1 < a2 such that the minimal translation length is bounded below and above by a1∕g2 and a2∕g2.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Geometry & Topology | ||||
Publisher: | Geometry & Topology Publications | ||||
ISSN: | 1364-0380 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.15 | ||||
Number: | No.3 | ||||
Page Range: | pp. 1297-1312 | ||||
DOI: | 10.2140/gt.2011.15.1297 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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