A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities |
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Authors: | Makoto Matsumoto |
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Affiliation: | (1) Department of Mathematics, Kyushu University, 6-10-1 Hakozaki Higashi-ku Fukuoka 812-8251 Japan (e-mail: matumoto@math.kyushu-u.ac.jp) , JP |
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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 |
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Keywords: | Mathematics Subject Classification (1991):57N05 20F36 14B07 20F05 57M05 |
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