Riemann-Roch Theorems via deformation quanitzation I

P. Bressler; R. Nest; B. Tsygan

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arXiv · math/9904121

Riemann-Roch Theorems via deformation quanitzation I

P. Bressler·R. Nest·B. Tsygan

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Abstract

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.

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BibTeX RIS

P. Bressler, R. Nest, B. Tsygan. 1999-04-22. Riemann-Roch Theorems via deformation quanitzation I. https://arxiv.org/abs/math/9904121

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