Prop profile of bi-Hamiltonian structures

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dc.creatorStrohmayer, Henrik
dc.date2008-04-03
dc.date.accessioned2026-07-07T09:30:09Z
dc.date.available2026-07-07T09:30:09Z
dc.descriptionRecently 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.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/0804.0596
dc.identifierhttp://arxiv.org/abs/0804.0596
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158035
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subject58A50; 18D50
dc.titleProp profile of bi-Hamiltonian structures
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