Deformations of Batalin-Vilkovisky algebras

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dc.creatorKravchenko, Olga
dc.date1999-03-31
dc.date1999-05-30
dc.date.accessioned2026-07-07T05:28:34Z
dc.date.available2026-07-07T05:28:34Z
dc.descriptionWe show that a graded commutative algebra A with any square zero odd differential operator is a natural generalization of a Batalin-Vilkovisky algebra. While such an operator of order 2 defines a Gerstenhaber (Lie) algebra structure on A, an operator of an order higher than 2 (Koszul-Akman definition) leads to the structure of a strongly homotopy Lie algebra (L$_\infty$-algebra) on A. This allows us to give a definition of a Batalin-Vilkovisky algebra up to homotopy. We also make a conjecture which is a generalization of the formality theorem of Kontsevich to the Batalin-Vilkovisky algebra level.
dc.description9 pages, second version - minor grammatical changes
dc.identifierhttps://arxiv.org/abs/math/9903191
dc.identifierhttp://arxiv.org/abs/math/9903191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78304
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subject17B70; 81T70; 58A50; 58D29
dc.titleDeformations of Batalin-Vilkovisky algebras
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