Gerbes of chiral differential operators. III
Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman
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=Ω1X this gerbe admits a canonical global section which coincides with the chiral de Rham complex of X.
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