A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves
Szepietowski, Błażej
Osaka J. Math., Tome 45 (2008) no. 1, p. 283-326 / Harvested from Project Euclid
We study the action of the mapping class group $\mathcal{M}(F)$ on the complex of curves of a non-orientable surface $F$. Following the outline of [1] we obtain, using the result of [4], a presentation for $\mathcal{M}(F)$ defined in terms of the mapping class groups of the complementary surfaces of collections of curves, provided that $F$ is not sporadic, i.e. the complex of curves of $F$ is simply connected. We also compute a finite presentation for the mapping class group of each sporadic surface.
Publié le : 2008-06-15
Classification:  57N05,  20F05,  20F38
@article{1216151101,
     author = {Szepietowski, B\l a\.zej},
     title = {A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 283-326},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1216151101}
}
Szepietowski, Błażej. A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves. Osaka J. Math., Tome 45 (2008) no. 1, pp.  283-326. http://gdmltest.u-ga.fr/item/1216151101/