Riemann–Roch Theorems via Deformation Quantization, II

Riemann–Roch Theorems via Deformation Qu

Riemann–Roch Theorems via Deformation Quantization, I

✍ P. Bressler; R. Nest; B. Tsygan 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 217 KB

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 deformat