New series in the Johnson cokernels of the mapping class groups of surfaces

Details New series in the Johnson cokernels of the mapping class groups of surfaces New series in the Johnson cokernels of the mapping class groups of surfaces

2010-12-10

arxiv.org/abs/1012.2175v3

Mathematics

Representation Theory

40 pages. In our previous version, the conjecture 7.8 is not true. In the revised version, we added some problems and discussi

Scientific paper

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.

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