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Grothendieck-Teichm\"uller and Batalin-Vilkovisky

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arxiv 1012.2467 v3 pith:DE2N6L72 submitted 2010-12-11 math.QA

Sergei Merkulov , Thomas Willwacher This is my paper · ORCID
classification math.QA
keywords grothendieck-teichmquantumulleractionaffinealgebrabatalin-vilkoviskyconstant
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abstract

It is proven that, for any affine supermanifold $M$ equipped with a constant odd symplectic structure, there is a universal action (up to homotopy) of the Grothendieck-Teichm\"uller Lie algebra $\mathfrak{grt}_1$ on the set of quantum BV structures (i. e.\ solutions of the quantum master equation) on $M$.

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Cited by 1 Pith paper

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  1. 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...

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