Cyclic Cohomology of the Weyl Algebra

Details Cyclic Cohomology of the Weyl Algebra Cyclic Cohomology of the Weyl Algebra

2008-04-17

arxiv.org/abs/0804.2812v2

Mathematics

Symplectic Geometry

Scientific paper

We give an explicit formula for symplectically basic representatives of the cyclic cohomology of the Weyl algebra. This paper can be seen as cyclic addendum to the paper by Feigin, Felder and Shoikhet, where the analogous Hochschild case was treated. 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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