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Gerbes of chiral differential operators. III

Vassily Gorbounov·Fyodor Malikov·Vadim Schechtman
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Abstract

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 $X$.

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Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman. 2000-05-23. Gerbes of chiral differential operators. III. https://arxiv.org/abs/math/0005201

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