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Infinitesimal presentations of the Torelli groups

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arxiv alg-geom/9512001 v2 pith:DKAHNECU submitted 1995-12-01 alg-geom math.AG

Richard Hain This is my paper · ORCID
classification alg-geommath.AG
keywords beenpostedcompanioncompletiondecemberearlyfixedgroups
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This is a significant revision of the early version of this paper which was posted last December. The speculative section has been removed in light of some recent results of Morita and Kawazumi. Numerous typos have been fixed. The companion paper "The Hodge de Rham Theory of Relative Malcev Completion" has just been posted.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups

    math.GT 2025-09 conditional novelty 6.0 of 10

    For the handlebody Torelli groups HI and HBI, the kernels of the Johnson-detected cup product maps in second rational cohomology are computed explicitly as sums of irreducible SL_g(Q) modules.

  2. One-dimensionality of certain cocycles for the detection of the Johnson cokernel

    math.AT 2025-07 accept novelty 4.0 of 10

    The vertex-graded 1-cocycles of the ribbon graph complex RGC1 are one-dimensional and spanned by the graph G1 corresponding to the Enomoto-Satoh trace.

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