Mirror Symmetry for hyperkaehler manifolds

dc.creatorVerbitsky, Misha
dc.date1995-12-24
dc.date1996-03-14
dc.date.accessioned2026-07-07T09:04:14Z
dc.date.available2026-07-07T09:04:14Z
dc.descriptionWe prove the Mirror Conjecture for Calabi-Yau manifolds equipped with a holomorphic symplectic form. Such manifolda are also known as complex manifolds of hyperkaehler type. We obtain that a complex manifold of hyperkaehler type is Mirror dual to itself. The Mirror Conjecture is stated (following Kontsevich, ICM talk) as the equivalence of certain algebraic structures related to variations of Hodge structures. We compute the canonical flat coordinates on the moduli space of Calabi-Yau manifolds of hyperkaehler type, introduced to Mirror Symmetry by Bershadsky, Cecotti, Ooguri and Vafa.
dc.description62 pages, LaTeX 2e, minor corrections (grammar and typos) added since then
dc.identifierhttps://arxiv.org/abs/hep-th/9512195
dc.identifierhttp://arxiv.org/abs/hep-th/9512195
dc.identifierAMS/IP Stud. Adv. Math. 10 (1999) 115-156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149302
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleMirror Symmetry for hyperkaehler manifolds
dc.typetext

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