Unbounded Pontryagin numbers on nonnegatively curved spin manifolds
Differential Geometry
2023-01-03 v3 Algebraic Topology
Abstract
We prove that any rational linear combination of Pontryagin numbers that does not factor through the universal elliptic genus is unbounded on connected closed spin manifolds of nonnegative sectional curvature.
Cite
@article{arxiv.2111.07862,
title = {Unbounded Pontryagin numbers on nonnegatively curved spin manifolds},
author = {E. Hsiao and D. Kotschick},
journal= {arXiv preprint arXiv:2111.07862},
year = {2023}
}
Comments
9 pages, final version, to appear in Bulletin London Math. Soc