Stable commutator length of a Dehn twist

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It is proved that the stable commutator length of a Dehn twist in the mapping class group is positive and the tenth power of a Dehn twist about a nonseparating simple closed curve is a product of two commutators. As an application a new proof of the fact that the growth rate of a Dehn twist is linear is given.
Title and the content have been changed. The last part of the previous version is included in another paper. Now the paper is 10 pages with no pictures. New abstract. To appear in Michigan Math. Journal

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Geometric Topology, Group Theory, 57M60, 57R17, 20J06, 20F38

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http://salesiana.dossiersoluciones.com/handle/123456789/60591

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012162
 http://arxiv.org/abs/math/0012162

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arXiv