English

Higher Todd classes and holomorphic group actions

Algebraic Geometry 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0511305,
  title  = {Higher Todd classes and holomorphic group actions},
  author = {Jonathan Block and Shmuel Weinberger},
  journal= {arXiv preprint arXiv:math/0511305},
  year   = {2007}
}