Riemann-Roch theorems via deformation quantization, I
Research output: Contribution to journal › Journal article › Research › peer-review
We deduce the Riemann-Roch type formula expressing the microlocal Euler class of a perfect complex of D-modules in terms of the Chern character of the associated symbol complex and the Todd class of the manifold from the Riemann-Roch type theorem for periodic cyclic cocycles of a symplectic deformation quantization. The proof of the latter is contained in the sequel to this paper.
Original language | English |
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Journal | Advances in Mathematics |
Volume | 167 |
Issue number | 1 |
Pages (from-to) | 1-25 |
Number of pages | 25 |
ISSN | 0001-8708 |
DOIs | |
Publication status | Published - 15 Apr 2002 |
ID: 237364810