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Cyclic cohomology of the Weyl algebra

By Thomas Willwacher


Abstract. We give an explicit formula for sp 2n-basic representatives of the cyclic cohomology of the Weyl algebra HC • (A2n). This paper can be seen as cyclic addendum to the paper [6] 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

Year: 2013
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