arXiv Analytics

Sign in

arXiv:math/0008185 [math.GT]AbstractReferencesReviewsResources

Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface

Susumu Hirose

Published 2000-08-24Version 1

S. Gervais gave a finite presentation for the mapping class group of a surface (math.GT/9811162). We show this presentation without using Wajnryb's simple presentation. We use a complex of curves defined by Harvey, in place of Hatcher and Thurston's complex.

Comments: 29 pages, 4 figures
Journal: Title has been changed to "A complex of curves and a presentation for the mapping class group of a surface", and published in Osaka J. of Math., 39 (2002), 795--820
Categories: math.GT
Subjects: 57M99, 20F05
Related articles: Most relevant | Search more
arXiv:math/9811162 [math.GT] (Published 1998-11-27)
A finite presentation of the mapping class group of an oriented surface
arXiv:0708.0397 [math.GT] (Published 2007-08-02)
A presentation for the mapping class group of the closed non-orientable surface of genus 4
arXiv:0707.2776 [math.GT] (Published 2007-07-18)
A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves

Links

Toolbox