Johnson's homomorphisms of subgroups of the mapping class group, the Magnus expansion and Massey higher products of mapping tori
Johnson's homomorphisms of subgroups of the mapping class group, the Magnus expansion and Massey higher products of mapping tori
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映射类群子群的约翰逊同态、映射环面的马格努斯展开和梅西高积
DOI：
10.1016/0166-8641(95)00077-1
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发表时间：
1996
影响因子：
0.6
通讯作者：
Teruaki Kitano
中科院分区：
文献类型：
--
作者：
Teruaki Kitano
通过对基本群的下中心列的作用，定义了曲面映射类群子群的约翰逊同态τ k.利用Magnus展开给出了τ k的一些描述，从而给出了它在相应映射类的映射环面上的Massey积的几何意义.
Johnson's homomorphism τkof the subgroup of the mapping class group of surfaces is defined via the action on the lower central series of the fundamental group. We give some descriptions of τkby using the Magnus expansion and thereby give a geometric meaning to it in terms of the Massey products on mapping tori of the corresponding mapping classes.