Strongly homotopy algebras of a Kähler manifold

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dc.creatorMerkulov, S. A.
dc.date1998-09-29
dc.date2001-08-13
dc.date.accessioned2026-07-07T05:26:12Z
dc.date.available2026-07-07T05:26:12Z
dc.descriptionIt is shown that any compact Kähler manifold $M$ gives canonically rise to two strongly homotopy algebras, the first one being associated with the Hodge theory of the de Rham complex and the second one with the Hodge theory of the Dolbeault complex. In these algebras the product of two harmonic differential forms is again harmonic. If $M$ happens to be a Calabi-Yau manifold, there exists a third strongly homotopy algebra closely related to the Barannikov-Kontsevich extended moduli space of complex structures.
dc.descriptionCorrection
dc.identifierhttps://arxiv.org/abs/math/9809172
dc.identifierhttp://arxiv.org/abs/math/9809172
dc.identifierInternat. Math. Res. Notices (1999), no.3, 153--164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77462
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleStrongly homotopy algebras of a Kähler manifold
dc.typetext

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