曲面映射类群的Johnson余核中的新系列
表示论
2011-02-17 v3 代数拓扑
群论
几何拓扑
摘要
在本文中，我们研究了曲面映射类群的Johnson同态余核的Sp-模结构。我们在余核中检测到了具有最高权[1^k]（和[k]）的Sp-不可约分量。我们还证明了它们的重数等于1。
引用
@article{arxiv.1012.2175,
title = {New series in the Johnson cokernels of the mapping class groups of surfaces},
author = {Naoya Enomoto and Takao Satoh},
journal= {arXiv preprint arXiv:1012.2175},
year = {2011}
}
备注
40 pages. In our previous version, the conjecture 7.8 is not true. In the revised version, we added some problems and discussions for our series in the Johnson cokernels. We correct a link to our preprint in the reference [Sa]