Hochschild Lefschetz Class for $D$-modules
  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. 
Ajay Ramadoss, Xiang Tang, and Hsian-hua Tseng
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