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The triconnected Kontsevich graph complex

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arxiv 2503.17131 v1 pith:OFE5OF6J submitted 2025-03-21 math.QA math.AT

The triconnected Kontsevich graph complex

Thomas Willwacher This is my paper
classification math.QA math.AT
keywords complexgraphkontsevichtriconnectedfullgraphsquasi-isomorphicsmaller
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We show that a smaller version of the Kontsevich graph complex spanned by triconnected graphs is quasi-isomorphic to the full Kontsevich graph complex.

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Cited by 2 Pith papers

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  1. The motivic Lie algebra embeds into the cohomology of the general linear group

    math.AG 2026-07 conditional novelty 7.0

    The motivic Lie algebra of mixed Tate motives over Z is shown to embed canonically into unstable compactly-supported cohomology of GL_g(Z)-locally symmetric spaces and of A_g, via canonical graph cocycles that are gen...

  2. Graph integrals, Feynman periods, and single-valued multiple zeta values

    math.QA 2026-07 conditional novelty 7.0

    Canonical integrals of graphs with E=2V−2 equal RW integrals and evaluate to single-valued multiple zeta values, which are shown to lie in the space of Feynman periods.