Gerbes of chiral differential operators. III

Details Gerbes of chiral differential operators. III Gerbes of chiral differential operators. III

2000-05-22

arxiv.org/abs/math/0005201v2

Mathematics

Algebraic Geometry

26 pages, Tex. List of references corrected. Please use this version

Scientific paper

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 $\Lambda E$ of a vector bundle over a smooth algebraic variety
$X$. When $E=\Omega^1_X$ this gerbe admits a canonical global section which
coincides with the chiral de Rham complex of $X$.

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