Translator Disclaimer
2001 Presentations for the punctured mapping class groups in terms of Artin groups
Catherine Labruere, Luis Paris
Algebr. Geom. Topol. 1(1): 73-114 (2001). DOI: 10.2140/agt.2001.1.73

Abstract

Consider an oriented compact surface F of positive genus, possibly with boundary, and a finite set P of punctures in the interior of F, and define the punctured mapping class group of F relatively to P to be the group of isotopy classes of orientation-preserving homeomorphisms h:FF which pointwise fix the boundary of F and such that h(P)=P. In this paper, we calculate presentations for all punctured mapping class groups. More precisely, we show that these groups are isomorphic with quotients of Artin groups by some relations involving fundamental elements of parabolic subgroups.

Citation

Download Citation

Catherine Labruere. Luis Paris. "Presentations for the punctured mapping class groups in terms of Artin groups." Algebr. Geom. Topol. 1 (1) 73 - 114, 2001. https://doi.org/10.2140/agt.2001.1.73

Information

Received: 6 February 2001; Accepted: 12 February 2001; Published: 2001
First available in Project Euclid: 21 December 2017

zbMATH: 0962.57008
MathSciNet: MR1805936
Digital Object Identifier: 10.2140/agt.2001.1.73

Subjects:
Primary: 57N05
Secondary: 20F36, 20F38

Rights: Copyright © 2001 Mathematical Sciences Publishers

JOURNAL ARTICLE
42 PAGES


SHARE
Vol.1 • No. 1 • 2001
MSP
Back to Top