A presentation for the mapping class group of the closed non-orientable surface of genus 4
Geometric Topology
2010-10-25 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.0708.0397,
title = {A presentation for the mapping class group of the closed non-orientable surface of genus 4},
author = {Błażej Szepietowski},
journal= {arXiv preprint arXiv:0708.0397},
year = {2010}
}
Comments
28 pages, 7 figures