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Prop profile of bi-Hamiltonian structures
Stockholm University, Faculty of Science, Department of Mathematics.
2008 (English)Report (Other academic)
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
2008. , 37 p.
Keyword [en]
prop, bi-Hamiltonian, operad, Koszul, resolution, compatible
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-16209OAI: oai:DiVA.org:su-16209DiVA: diva2:182729
Note
To appear in Journal of Non-Commutative GeometryAvailable from: 2008-12-15 Created: 2008-12-15Bibliographically approved

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http://arxiv.org/abs/0804.0596

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