Mathematische Annalen

, Volume 316, Issue 3, pp 401–418

A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities

  • Makoto Matsumoto
Original article

DOI: 10.1007/s002080050336

Cite this article as:
Matsumoto, M. Math Ann (2000) 316: 401. doi:10.1007/s002080050336


From Wajnryb's presentation, we extract a simple presentation of the mapping class group of the genus g surface as a quotient of an Artin group by simple relations among the centers of sub-Artin groups. Topological meanings are given by using deformation of simple singularities.

Mathematics Subject Classification (1991):57N05, 20F36, 14B07, 20F05, 57M05 

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Makoto Matsumoto
    • 1
  1. 1.Department of Mathematics, Kyushu University, 6-10-1 Hakozaki Higashi-ku Fukuoka 812-8251 Japan (e-mail: JP

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