Gerbes of chiral differential operators

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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