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

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We 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.
Latex, 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

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Algebraic Geometry, Mathematical Physics, Geometric Topology, Algebraic Geometry; Algebraic Topology; Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/68301

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308114
 http://arxiv.org/abs/math/0308114

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arXiv