# Cyclic cohomology of the Weyl algebra

Willwacher, Thomas (2015). Cyclic cohomology of the Weyl algebra. Journal of Algebra, 425:277-312.

## Abstract

We give an explicit formula for sp$_{2n}$-basic representatives of the cyclic cohomology of the Weyl algebra HC•(A$_{2n}$).As an application, we prove a generalization of a theorem of Nest and Tsygan concerning the relation of the Todd class and the cyclic cohomology of the differential operators on a complex manifold.

## Abstract

We give an explicit formula for sp$_{2n}$-basic representatives of the cyclic cohomology of the Weyl algebra HC•(A$_{2n}$).As an application, we prove a generalization of a theorem of Nest and Tsygan concerning the relation of the Todd class and the cyclic cohomology of the differential operators on a complex manifold.

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