, Volume 316, Issue 3, pp 401-418

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

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Abstract.

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.

Received: 22 January 1998 / in final form: 16 February 1999