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.
@article{0308114,
author = {Gorbounov, V. and Malikov, F.},
title = {Vertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0308114}
}
Gorbounov, V.; Malikov, F. Vertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308114/