The first Pontryagin class

Details The first Pontryagin class The first Pontryagin class

2005-09-23

arxiv.org/abs/math/0509563v2

Mathematics

Algebraic Topology

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

Scientific paper

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.

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