# 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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## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics Physical Sciences > Algebra and Number Theory English 1 March 2015 28 Jan 2016 07:49 30 Jul 2020 20:12 Elsevier 0021-8693 Closed Publisher DOI. An embargo period may apply. https://doi.org/10.1016/j.jalgebra.2014.10.054

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