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

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.

preprint2007arXivOpen access
Błażej Szepietowski
math.GRmath.GT
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Błażej Szepietowski

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