Rinehart complexes and Batalin-Vilkovisky algebras

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dc.creatorHuebschmann, Johannes
dc.date2000-10-03
dc.date.accessioned2026-07-07T04:37:50Z
dc.date.available2026-07-07T04:37:50Z
dc.descriptionFor 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.
dc.description8 pages, AMSTeX2.1
dc.identifierhttps://arxiv.org/abs/math/0010039
dc.identifierhttp://arxiv.org/abs/math/0010039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60050
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject17B55 17B56 17B56 17B65 17B66 17B70 17B81 53C05 81T70
dc.titleRinehart complexes and Batalin-Vilkovisky algebras
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