A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities
A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities
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用 Artin 群和奇点几何单调表示映射类群
DOI：
10.1007/s002080050336
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发表时间：
2000
影响因子：
1.4
通讯作者：
M. Matsumoto
中科院分区：
文献类型：
--
作者：
M. Matsumoto
抽象的。从 Wajnryb 的演示中，我们通过子 Artin 群中心之间的简单关系，提取了亏格 g 曲面的映射类群的简单表示作为 Artin 群的商。拓扑意义是通过简单奇点的变形给出的。
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.