A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators

Michal Stukow

doi:10.1016/j.jpaa.2014.03.013

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arXiv · 1310.2722

A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators

Michal Stukow

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Abstract

Let N_{g,s} denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski obtained an explicit finite presentation for the mapping class group M(N_{g,s}) of the surface N_{g,s}, where s\in{0,1} and g+s>3. Following this work we obtain a finite presentation for the mapping class group M(N_{g,s}) with generators being Dehn twists and one crosscap slide.

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BibTeX RIS

Michal Stukow. 2013-10-10. A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators. https://doi.org/10.1016/j.jpaa.2014.03.013

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