Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman
Published 2000-05-22, updated 2000-05-23Version 2
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 $X$.
Comments: 26 pages, Tex. List of references corrected. Please use this version
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