Abstract
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 .
Citation
Emmanuel Militon. "Distortion elements for surface homeomorphisms." Geom. Topol. 18 (1) 521 - 614, 2014. https://doi.org/10.2140/gt.2014.18.521
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