Unfoldings of meromorphic connections and a construction of Frobenius manifolds

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dc.creatorHertling, Claus
dc.creatorManin, Yuri
dc.date2002-07-10
dc.date2003-03-07
dc.date.accessioned2026-07-07T04:49:37Z
dc.date.available2026-07-07T04:49:37Z
dc.descriptionThe existence of universal unfoldings of certain germs of meromorphic connections is established. This is used to prove a general construction theorem for Frobenius manifolds. A particular case is Dubrovin's theorem on semisimple Frobenius manifolds. Another special case starts with variations of Hodge structures. This case is used to compare two constructions of Frobenius manifolds, the one in singularity theory and the Barannikov-Kontsevich construction. For homogeneous polynomials which give Calabi-Yau hypersurfaces certain Frobenius submanifolds in both constructions are isomorphic.
dc.description34 pages, amslatex, remark 2.10 added, shorter proof of 2.9
dc.identifierhttps://arxiv.org/abs/math/0207089
dc.identifierhttp://arxiv.org/abs/math/0207089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64491
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject32G34, 32G20
dc.titleUnfoldings of meromorphic connections and a construction of Frobenius manifolds
dc.typetext

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