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Moscow Mathematical Journal, 2004, Volume 4, Number 3, Pages 729–779
DOI: https://doi.org/10.17323/1609-4514-2004-4-3-729-779 (Mi mmj171) 		 
This article is cited in 15 scientific papers (total in 15 papers)

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

V. G. Gorbunova, F. G. Malikovb

a University of Kentucky
b University of Southern California
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DOI: https://doi.org/10.17323/1609-4514-2004-4-3-729-779
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–Ginzburg orbifold. As an application, we prove an explicit orbifold formula for the elliptic genus of Calabi–Yau hypersurfaces.
Key words and phrases: Vertex algebra, chiral rings, polyvector fields, spectral sequence, orbifold.
Received: August 29, 2003
Bibliographic databases:
MSC: 14M25, 14F05, 17B65, 17B69, 17B81, 81T20, 55N34
Language: English
Citation: V. G. Gorbunov, F. G. Malikov, “Vertex algebras and the Landau–Ginzburg/Calabi–Yau correspondence”, Mosc. Math. J., 4:3 (2004), 729–779
Citation in format AMSBIB
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\by V.~G.~Gorbunov, F.~G.~Malikov
\paper Vertex algebras and the Landau--Ginzburg/Calabi--Yau correspondence
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 3
\pages 729--779
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\crossref{https://doi.org/10.17323/1609-4514-2004-4-3-729-779}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119147}
\zmath{https://zbmath.org/?q=an:1079.14050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594800010}
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    • This publication is cited in the following 15 articles:
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