A note on higher Todd genera of complex manifolds

4 Mar 2020  ·  Francesco Bei, Paolo Piazza ·

Let $M$ be a compact complex manifold. In this paper we give a simple proof of the bimeromorphic invariance of the higher Todd genera of $M$, a result first proved implicitly by Brasselet-Sch\"urmann-Yokura using algebraic methods.

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Differential Geometry Complex Variables K-Theory and Homology 32L10, 19L10, 32Q55, 57R20