2000/01/28 by F. Malikov, Fyodor Malikov, Malikov, F. +3
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.math/0001170
we use the deformation technique from the earlier version of this note to compute the cohomology of the chiral de Rham complex over the projective space; the two new results, Theorems 2.5A and B, are explained in sect. 2.5
openalex publication_date 2000/01/28 · arxiv created 2000/04/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.