Bordism invariants of the mapping class group
Bordism invariants of the mapping class group
复制标题
映射类群的 Bordism 不变量
DOI：
10.1016/j.top.2006.06.001
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Aaron Heap
中科院分区：
文献类型：
--
作者：
Aaron Heap
We define new bordism and spin bordism invariants of certain subgroups of the mapping class group of a surface. In particular, they are invariants of the Johnson filtration of the mapping class group. The second and third terms of this filtration are the well-known Torelli group and Johnson subgroup, respectively. We introduce a new representation in terms of spin bordism, and we prove that this single representation contains all of the information given by the Johnson homomorphism, the Birman–Craggs homomorphism, and the Morita homomorphism.
