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Prop profile of bi-Hamiltonian structures
Stockholm University, Faculty of Science, Department of Mathematics.
2010 (English)In: Journal of Noncommutative Geometry, ISSN 1661-6952, E-ISSN 1661-6960, Vol. 4, no 2, 189-235 p.Article in journal (Refereed) Published
Abstract [en]

Recently S. A. Merkulov established a link between differential geometry and homological algebra by giving descriptions of several differential geometric structures in terms of minimal resolutions of props. In particular he described the prop profile of Poisson geometry. In this paper we define a prop such that representations of its minimal resolution in a vector space V are in a one-to-one correspondence with bi-Hamiltonian structures, i.e., pairs of compatible Poisson structures, on the formal manifold associated to V.

Place, publisher, year, edition, pages
2010. Vol. 4, no 2, 189-235 p.
Keyword [en]
Bi-Hamiltonian structures, graded manifolds, compatible Lie algebras, L-infinity algebras, operads, props, Koszul duality theory
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-49115DOI: 10.4171/JNCG/53ISI: 000275191200002OAI: oai:DiVA.org:su-49115DiVA: diva2:376481
Note
authorCount :1Available from: 2010-12-10 Created: 2010-12-10 Last updated: 2017-12-11Bibliographically approved

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