A presentation for the mapping class group of the closed non-orientable surface of genus 4

Błażej Szepietowski

doi:10.1016/j.jpaa.2009.02.009

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arXiv · 0708.0397

A presentation for the mapping class group of the closed non-orientable surface of genus 4

Błażej Szepietowski

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Abstract

Finite presentations for the mapping class group M(F) are known for arbitrary orientable compact surface F. If F is non-orientable, then such presentations are known only when F has genus at most 3 and few boundary components. In this paper we obtain finite presentation for the mapping class group of the closed non-orientable surface of genus 4 from its action on the so called ordered complex of curves.

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Błażej Szepietowski. 2007-08-02. A presentation for the mapping class group of the closed non-orientable surface of genus 4. https://doi.org/10.1016/j.jpaa.2009.02.009

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