The Mukai pairing—II: the Hochschild-Kostant-Rosenberg isomorphism |
| |
Authors: | Andrei C?ld?raru |
| |
Affiliation: | Department of Mathematics, University of Philadelphia, 203 South 33rd Street, DRL 4N61, Philadelphia, PA 19104-6395, USA |
| |
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 notions of Mukai vector and Mukai pairing on differential forms that applies to arbitrary manifolds;
- •
- we give a proof of the fact that the natural Chern character map K0(X)→HH0(X) becomes, after the HKR isomorphism, the usual one
; and - •
- we present a conjecture that relates the Hochschild and harmonic structures of a smooth space, similar in spirit to the Tsygan formality conjecture.
|
| |
Keywords: | primary 14F40 secondary 19L10 |
本文献已被 ScienceDirect 等数据库收录! |
|