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arXiv · 1012.2175

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

Naoya Enomoto·Takao Satoh
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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.

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BibTeXRIS

Naoya Enomoto, Takao Satoh. 2011-02-16. New series in the Johnson cokernels of the mapping class groups of surfaces. https://arxiv.org/abs/1012.2175

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