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Gerbes of chiral differential operators. III

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arxiv math/0005201 v2 pith:G4RSPNZF submitted 2000-05-22 math.AG

Vassily Gorbounov , Fyodor Malikov , Vadim Schechtman This is my paper · ORCID
classification math.AG
keywords chiraldifferentialgerbesoperatorsactingadmitsalgebraalgebraic
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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 $\Lambda E$ 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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