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Higher Todd classes and holomorphic group actions

Jonathan Block·Shmuel Weinberger
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Abstract

This paper attempts to provide an analogue of the Novikov conjecture for algebraic (or Kähler) 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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Jonathan Block, Shmuel Weinberger. 2005-11-13. Higher Todd classes and holomorphic group actions. https://arxiv.org/abs/math/0511305

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