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- W4300796824 abstract "We continue the study of the Hochschild structure of a smooth space that we began in our previous paper, examining implications of the Hochschild-Kostant-Rosenberg theorem. The main contributions of the present paper are: -- we introduce a generalization of the usual Mukai pairing on differential forms that applies to arbitrary manifolds; -- we give a proof of the fact that the natural Chern character map $K_0(X) to HH_0(X)$ becomes, after the HKR isomorphism, the usual one $K_0(X) to bigoplus H^i(X, Omega_X^i)$; and -- we present a conjecture that relates the Hochschild and harmonic structures of a smooth space." @default.
- W4300796824 created "2022-10-04" @default.
- W4300796824 creator A5014248248 @default.
- W4300796824 date "2003-08-08" @default.
- W4300796824 modified "2023-09-30" @default.
- W4300796824 title "The Mukai pairing, II: the Hochschild-Kostant-Rosenberg isomorphism" @default.
- W4300796824 doi "https://doi.org/10.48550/arxiv.math/0308080" @default.
- W4300796824 hasPublicationYear "2003" @default.
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