Nonnegative curvature, elliptic genus and unbounded Pontryagin numbers
Differential Geometry
2016-07-14 v3
Abstract
We discuss the cobordism type of spin manifolds with nonnegative sectional curvature. We show that in each dimension , there are infinitely many cobordism types of simply connected and nonnegatively curved spin manifolds. Moreover, we raise and analyze a question about possible cobordism obstructions to nonnegative curvature.
Keywords
Cite
@article{arxiv.1412.4923,
title = {Nonnegative curvature, elliptic genus and unbounded Pontryagin numbers},
author = {Martin Herrmann and Nicolas Weisskopf},
journal= {arXiv preprint arXiv:1412.4923},
year = {2016}
}
Comments
7 pages; minor corrections, accepted version, to appear in Proceedings of the Edinburgh Mathematical Society