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New series in the Johnson cokernels of the mapping class groups of surfaces (1012.2175v3)
Published 10 Dec 2010 in math.RT, math.AT, math.GR, and math.GT
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 1k in the cokernel. We also show that the multiplicities of them is equal to one.