Hochschild Lefschetz Class for $D$-modules

Abstract

We introduce a notion of Hochschild Lefschetz class for a good coherent D-module on a compact complex manifold, and prove that this class is compatible with the direct image functor. We prove an orbifold Riemann-Roch formula for a D-module on a compact complex orbifold.

18 pages

References in corpus (1)

• Deformation quantization modules

Cited by in corpus (3)

• Microlocal Euler classes and Hochschild homology
• Microlocal Lefschetz classes of graph trace kernels
• Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets