1999/04/22 by P. Bressler, Paul Bressler, R. Nest +6
Mathematics · #Advanced Algebra and Geometry #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:58G05
paper · pdf · doi:10.48550/arxiv.math/9904121
arxiv created 1999/04/22 · arxiv updated 2009/11/30
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.