Vertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence

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dc.creatorGorbounov, V.
dc.creatorMalikov, F.
dc.date2003-08-12
dc.date2003-12-09
dc.date.accessioned2026-07-07T05:00:21Z
dc.date.available2026-07-07T05:00:21Z
dc.descriptionWe construct a spectral sequence that converges to the cohomology of the chiral de Rham complex over a Calabi-Yau hypersurface and whose first term is a vertex algebra closely related to the Landau-Ginburg orbifold. As an application, we prove an explicit orbifold formula for the elliptic genus of Calabi-Yau hypersurfaces.
dc.descriptionLatex, 50p. Some typos corrected, the page size may have been fixed. One new result, a theorem on the vertx algebra structure of the Landau-Ginzburg orbifold appears in sect. 5.2.18. This is the final version to appear in the Moscow Mathematical Journal
dc.identifierhttps://arxiv.org/abs/math/0308114
dc.identifierhttp://arxiv.org/abs/math/0308114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68301
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry; Algebraic Topology; Mathematical Physics
dc.titleVertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence
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