Unbounded Pontryagin numbers on nonnegatively curved spin manifolds

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.

9 pages, final version, to appear in Bulletin London Math. Soc

References in corpus (2)

• Dualization invariance and a new complex elliptic genus
• Pontryagin numbers and nonnegative curvature