English

Gerbes of chiral differential operators

Algebraic Geometry 2007-05-23 v9

Abstract

In this note we compute the cohomological obstruction to the existence of certain sheaves of vertex algebras on smooth varieties. These sheaves have been introduced and studied in the previous work by A.Vaintrob and two of the authors. Hopefully our result clarifies to some extent the constructions of the above work.

Keywords

Cite

@article{arxiv.math/9906117,
  title  = {Gerbes of chiral differential operators},
  author = {Vassily Gorbounov and Fyodor Malikov and Vadim Schechtman},
  journal= {arXiv preprint arXiv:math/9906117},
  year   = {2007}
}

Comments

12 pages, Tex. A computation of conformal anomaly is added

R2 v1 2026-07-22T18:03:28.410Z