Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Mukai pairing, I: the Hochschild structure   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 respect to the generalized pairing;
  -- formal Hirzebruch-Riemann-Roch and the Cardy condition from physics;
  -- invariance of the full Hochschild structure under Fourier-Mukai
transforms.
  Connections with homotopy theory and TQFT's are discussed in an appendix. A
separate paper treats consequences of the HKR isomorphism. Applications of
these results to the study of a mirror symmetric analogue of Chen-Ruan's
orbifold product will be presented in a future paper.

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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th