Formality of canonical symplectic complexes and Frobenius manifolds

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dc.creatorMerkulov, S. A.
dc.date1998-05-15
dc.date1998-05-19
dc.date.accessioned2026-07-07T05:24:46Z
dc.date.available2026-07-07T05:24:46Z
dc.descriptionIt is shown that the de Rham complex of a symplectic manifold $M$ satisfying the hard Lefschetz condition is formal. Moreover, it is shown that the differential Gerstenhaber-Batalin-Vilkoviski algebra associated to such a symplectic structure gives rise, along the lines explained in the papers of Barannikov and Kontsevich [alg-geom/9710032] and Manin [math/9801006], to the structure of a Frobenius manifold on the de Rham cohomology of $M$.
dc.description8 pages, LaTeX, corrected typos and citations
dc.identifierhttps://arxiv.org/abs/math/9805072
dc.identifierhttp://arxiv.org/abs/math/9805072
dc.identifierIntern. Math. Research Notices 14 (1998), 727-733
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76932
dc.subjectSymplectic Geometry
dc.titleFormality of canonical symplectic complexes and Frobenius manifolds
dc.typetext

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