New series in the Johnson cokernels of the mapping class groups of surfaces
Representation Theory
2011-02-17 v3 Algebraic Topology
Group Theory
Geometric Topology
Abstract
In the present paper, we study the Sp-module structure of the cokernel of the Johnson homomorphism of the mapping class groups of surfaces. We detect the Sp-irreducible components with highest weight [1^k] (and [k]) in the cokernel. We also show that the multiplicities of them is equal to one.
Keywords
Cite
@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}
}
Comments
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]