Gerbes of chiral differential operators. III

Vassily Gorbounov; Fyodor Malikov; Vadim Schechtman

Gerbes of chiral differential operators. III

Algebraic Geometry 2007-05-23 v2

Authors: 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 $\Lambda E$ 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 $X$ .

Keywords

gerbe chiral differential operator exterior algebra vector bundle chiral de rham complex

Cite

@article{arxiv.math/0005201,
  title  = {Gerbes of chiral differential operators. III},
  author = {Vassily Gorbounov and Fyodor Malikov and Vadim Schechtman},
  journal= {arXiv preprint arXiv:math/0005201},
  year   = {2007}
}

Comments

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

Gerbes of chiral differential operators. III

Abstract

Keywords

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