Prop profile of bi-Hamiltonian structures
2010 (English)In: Journal of Noncommutative Geometry, ISSN 1661-6952, Vol. 4, no 2, 189-235 p.Article in journal (Refereed) Published
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.
Bi-Hamiltonian structures, graded manifolds, compatible Lie algebras, L-infinity algebras, operads, props, Koszul duality theory
IdentifiersURN: urn:nbn:se:su:diva-49115DOI: 10.4171/JNCG/53ISI: 000275191200002OAI: oai:DiVA.org:su-49115DiVA: diva2:376481
authorCount :12010-12-102010-12-102010-12-10Bibliographically approved