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Pseudo-Anosov
homeomorphisms of punctured nonorientable surfaces with small
stretch factor
Sayantan Khan, Caleb Partin and Rebecca R Winarski |
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Algebraic & Geometric Topology 23 (2023) 2823–2856
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Abstract |
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We prove that in the nonorientable setting, the minimal stretch factor of a pseudo-Anosov homeomorphism of a surface of genus with a fixed number of punctures is asymptotically on the order of . Our result adapts the work of Yazdi to nonorientable surfaces. We include the details of Thurston’s theory of fibered faces for nonorientable –manifolds. |
Keywords
mapping class group, pseudo-Anosov, nonorientable surfaces,
minimal stretch factor
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Mathematical Subject Classification
Primary: 37E30
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References |
Publication
Received: 20 July 2021
Revised: 25 October 2021
Accepted: 7 December 2021
Published: 7 September 2023
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Authors |
| Sayantan Khan | |
| Department of Mathematics University of Michigan Ann Arbor, MI United States |
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| https://www-personal.umich.edu/~saykhan/ | |
| Caleb Partin | |
| School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
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| Rebecca R Winarski | |
| Department of Mathematics and
Computer Science College of the Holy Cross Worcester, MA United States |
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| https://sites.google.com/site/rebeccawinarski/ | |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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