Rinehart complexes and Batalin-Vilkovisky algebras

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For a Lie-Rinehart algebra (A,L) such that, as an A-module, L is finitely generated and projective of finite constant rank, the relationship between generators of the Gerstenhaber bracket and connections on the highest A-exterior power of L given in an earlier paper arises from the canonical pairing between the exterior A-powers of L. Thus, given an exact generator for the corresponding Gerstenhaber algebra, the chain complex underlying the resulting Batalin-Vilkovisky algebra coincides with the Rinehart complex computing the corresponding Lie-Rinehart homology.
8 pages, AMSTeX2.1

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Differential Geometry, Algebraic Geometry, 17B55 17B56 17B56 17B65 17B66 17B70 17B81 53C05 81T70

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http://salesiana.dossiersoluciones.com/handle/123456789/60050

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010039
 http://arxiv.org/abs/math/0010039

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arXiv