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

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

2003-08-12

arxiv.org/abs/math/0308114v2

Mathematics

Algebraic Geometry

Latex, 50p. Some typos corrected, the page size may have been fixed. One new result, a theorem on the vertx algebra structure

Scientific paper

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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