The Mukai pairing, I: the Hochschild structure

  title={The Mukai pairing, I: the Hochschild structure},
  author={Andrei Căldăraru},
We study the Hochschild structure of a smooth space or orbifold, emphasizing the importance of a pairing defined on Hochschild homology which generalizes a similar pairing introduced by Mukai on the cohomology of a K3 surface. We discuss those properties of the structure which can be derived without appealing to the Hochschild-Kostant-Rosenberg isomorphism and Kontsevich formality, namely: – functoriality of homology, commutation of push-forward with the Chern character, and adjointness with… CONTINUE READING


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