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

V. Gorbounov·F. Malikov
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Abstract

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.

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V. Gorbounov, F. Malikov. 2003-12-09. Vertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence. https://arxiv.org/abs/math/0308114

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