On the (ir)rationality of Kontsevich weights

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arxiv 0808.2762 v2 pith:DLAGXYRD submitted 2008-08-20 math.QA

Giovanni Felder , Thomas Willwacher This is my paper · ORCID

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keywords kontsevichcomputedeformationgraphquantizationrationalityrationalsresult

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We compute the weight of a Kontsevich graph in deformation quantization. Up to rationals, the result is Zeta(3)^2/Pi^6.

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M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds
math.QA 2019-08 conditional novelty 6.0 of 10

For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...