Riemann-Roch Theorems via deformation quanitzation I

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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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Algebraic Geometry, 58G05

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http://salesiana.dossiersoluciones.com/handle/123456789/78392

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904121
 http://arxiv.org/abs/math/9904121

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arXiv