The first Pontryagin class

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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.
The present paper supercedes the earlier notes ``Vertex algebroids I and II combining their contents and correcting the errors

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Algebraic Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/102290

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509563
 http://arxiv.org/abs/math/0509563

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arXiv