Volume 1, issue 1 (2001)

Download this article
For printing
Recent Issues

Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Presentations for the punctured mapping class groups in terms of Artin groups

Catherine Labruere and Luis Paris

Algebraic & Geometric Topology 1 (2001) 73–114
Bibliography
1 J S Birman, Mapping class groups and their relationship to braid groups, Comm. Pure Appl. Math. 22 (1969) 213 MR0243519
2 J S Birman, Mapping class groups of surfaces, from: "Braids (Santa Cruz, CA, 1986)", Contemp. Math. 78, Amer. Math. Soc. (1988) 13 MR975076
3 N Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles 1337, Hermann (1968) MR0240238
4 E Brieskorn, K Saito, Artin–Gruppen und Coxeter–Gruppen, Invent. Math. 17 (1972) 245 MR0323910
5 K S Brown, Presentations for groups acting on simply-connected complexes, J. Pure Appl. Algebra 32 (1984) 1 MR739633
6 R Charney, Artin groups of finite type are biautomatic, Math. Ann. 292 (1992) 671 MR1157320
7 P Dehornoy, L Paris, Gaussian groups and Garside groups, two generalisations of Artin groups, Proc. London Math. Soc. $(3)$ 79 (1999) 569 MR1710165
8 P Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273 MR0422673
9 S Gervais, A finite presentation of the mapping class group of a punctured surface, Topology 40 (2001) 703 MR1851559
10 A Hatcher, W Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980) 221 MR579573
11 S P Humphries, Generators for the mapping class group, from: "Topology of low-dimensional manifolds (Proc. Second Sussex Conf., Chelwood Gate, 1977)", Lecture Notes in Math. 722, Springer (1979) 44 MR547453
12 S P Humphries, On representations of Artin groups and the Tits conjecture, J. Algebra 169 (1994) 847 MR1302120
13 D Johnson, The structure of the Torelli group I: A finite set of generators for $\mathcal{I}$, Ann. of Math. $(2)$ 118 (1983) 423 MR727699
14 C Labruère, Groupes d'Artin et mapping class groups, PhD thesis, Université de Bourgogne (1997)
15 C Labruere, Generalized braid groups and mapping class groups, J. Knot Theory Ramifications 6 (1997) 715 MR1468903
16 M van der Lek, The homotopy type of complex hyperplane complements, PhD thesis, University of Nijmegen (1983)
17 E Looijenga, Artin groups and the fundamental groups of some moduli spaces, J. Topol. 1 (2008) 187 MR2365657
18 M Matsumoto, A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities, Math. Ann. 316 (2000) 401 MR1752777
19 L Paris, Parabolic subgroups of Artin groups, J. Algebra 196 (1997) 369 MR1475116
20 L Paris, Parabolic subgroups of Artin groups, J. Algebra 196 (1997) 369 MR1475116
21 L Paris, D Rolfsen, Geometric subgroups of mapping class groups, J. Reine Angew. Math. 521 (2000) 47 MR1752295
22 B Perron, J P Vannier, Groupe de monodromie géométrique des singularités simples, Math. Ann. 306 (1996) 231 MR1411346
23 V Sergiescu, Graphes planaires et présentations des groupes de tresses, Math. Z. 214 (1993) 477 MR1245207
24 J Tits, Le problème des mots dans les groupes de Coxeter, from: "Symposia Mathematica (INDAM, Rome, 1967/68), Vol. 1", Academic Press (1969) 175 MR0254129
25 B Wajnryb, A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1983) 157 MR719117
26 B Wajnryb, Artin groups and geometric monodromy, Invent. Math. 138 (1999) 563 MR1719815