Pontryagin numbers and nonnegative curvature
Differential Geometry
2011-09-06 v2 Geometric Topology
Abstract
We prove that any rational linear combination of Pontryagin numbers that is not a multiple of the signature is unbounded on connected closed oriented manifolds of nonnegative sectional curvature. Combining our result with Gromov's finiteness result for the signature yields a new characterization of the L-genus.
Keywords
Cite
@article{arxiv.0903.1590,
title = {Pontryagin numbers and nonnegative curvature},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:0903.1590},
year = {2011}
}
Comments
7 pages; this version is longer than the published one, since it contains some additional material