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H-twisted Lie algebroids

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arxiv 1005.5680 v4 pith:AI7KC4P3 submitted 2010-05-31 math.DG math.SG

Melchior Grutzmann This is my paper · ORCID
classification math.DGmath.SG
keywords definealgebroidalgebroidsanchorclassifiesclosedcohomologycovariant
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abstract

We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form $H$ with values in the kernel of the anchor map, and the twist is closed under a naturally occurring exterior covariant derivative. We give examples and define three kinds of cohomology two via realization as Q-structure on graded manifolds. This classifies PQ3-manifolds.

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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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