Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 16, Number 3 (2016), 1567-1584.
Algebraic degrees of stretch factors in mapping class groups
We explicitly construct pseudo-Anosov maps on the closed surface of genus with orientable foliations whose stretch factor is a Salem number with algebraic degree . Using this result, we show that there is a pseudo-Anosov map whose stretch factor has algebraic degree , for each positive even integer such that .
Algebr. Geom. Topol., Volume 16, Number 3 (2016), 1567-1584.
Received: 25 September 2014
Revised: 16 September 2015
Accepted: 21 September 2015
First available in Project Euclid: 28 November 2017
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Shin, Hyunshik. Algebraic degrees of stretch factors in mapping class groups. Algebr. Geom. Topol. 16 (2016), no. 3, 1567--1584. doi:10.2140/agt.2016.16.1567. https://projecteuclid.org/euclid.agt/1511895856