The first Pontryagin class

Paul Bressler

The first Pontryagin class

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arxiv math/0509563 v2 pith:JY57YERG submitted 2005-09-23 math.AT math.AG

Paul Bressler This is my paper · ORCID

classification math.ATmath.AG

keywords classchiralfirstpontryaginalgebrasalgebroidsapplicationcalculate

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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.

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M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds
math.QA 2019-08 conditional novelty 6.0 of 10

For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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