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

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

2007-08-02

arxiv.org/abs/0708.0397v1

J. Pure Appl. Algebra 213 (2009), 2001-2016

Mathematics

Geometric Topology

28 pages, 7 figures

Scientific paper

10.1016/j.jpaa.2009.02.009

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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