Geometry & Topology
- Geom. Topol.
- Volume 18, Number 1 (2014), 521-614.
Distortion elements for surface homeomorphisms
Let be a compact orientable surface and be an element of the group of homeomorphisms of isotopic to the identity. Denote by a lift of to the universal cover of . In this article, the following result is proved: If there exists a fundamental domain of the covering such that
where is the diameter of , then the homeomorphism is a distortion element of the group .
Geom. Topol., Volume 18, Number 1 (2014), 521-614.
Received: 2 November 2012
Revised: 27 June 2013
Accepted: 28 July 2013
First available in Project Euclid: 20 December 2017
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Militon, Emmanuel. Distortion elements for surface homeomorphisms. Geom. Topol. 18 (2014), no. 1, 521--614. doi:10.2140/gt.2014.18.521. https://projecteuclid.org/euclid.gt/1513732729