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並前往https://www.math.kyoto-u.ac.jp/preprint/2010/24Satoh.pdf

New series in the Johnson cokernels of the mapping class ...

surjective homomorphism H ⊗Z L2g(k + 1) → L2g(k + 2), where H := H1(Σg,1,Z) and L2g(k) is the degree k-part of the free Lie algebra L2g generated by H.

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