Hochschild Lefschetz Class for $D$-modules

Mathematics – K-Theory and Homology

Scientific paper

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18 pages

Scientific paper

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.

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