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The first Pontryagin class

Published online by Cambridge University Press:  20 September 2007

Paul Bressler
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA bressler@math.ias.edu
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Abstract

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We give a natural obstruction theoretic interpretation to the first Pontryagin class in terms of Courant algebroids. As an application we calculate the class of the stack of algebras of chiral differential operators. In particular, we establish the existence and uniqueness of the chiral de Rham complex.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2007