Deformations of chiral algebras and quantum cohomology of toric varieties

Details Deformations of chiral algebras and quantum cohomology of toric varieties Deformations of chiral algebras and quantum cohomology of toric varieties

2000-01-28

arxiv.org/abs/math/0001170v4

Mathematics

Algebraic Geometry

we use the deformation technique from the earlier version of this note to compute the cohomology of the chiral de Rham complex

Scientific paper

We reproduce the quantum cohomology of toric varieties (and of some
hypersurfaces in projective spaces) as the cohomology of certain vertex
algebras with differential. The deformation technique allows us to compute the
cohomology of the chiral de Rham complex over the projective space.

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