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Vassily Gorbounov

Publications and source records attributed to Vassily Gorbounov.

20 records · Page 2Linked to original sources

arXiv2000

Gerbes of chiral differential operators. III

This note is a sequel to "Gerbes of chiral differential operators. II", math.AG/0003170. We study gerbes of chiral differential operators acting on the exterior algebra $ΛE$ of a vector bundle over a smooth algebraic variety $X$. When $E=Ω^1_X$ this gerbe admits a canonical global section which coincides with the chiral de Rham complex of $X$.

math.AG↗

arXiv1999

Gerbes of chiral differential operators

In this note we compute the cohomological obstruction to the existence of certain sheaves of vertex algebras on smooth varieties. These sheaves have been introduced and studied in the previous work by A.Vaintrob and two of the authors. Hopefully our result clarifies to some extent the constructions of the above work.

math.AG↗