Higher Todd classes and holomorphic group actions

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

This paper attempts to provide an analogue of the Novikov conjecture for
algebraic (or K\"{a}hler) manifolds. Inter alia, we prove a conjecture of
Rosenberg's on the birational invariance of higher Todd genera. We argue that
in the algebraic geometric setting the Novikov philosophy naturally includes
non-birational mappings.

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