Unbounded Pontryagin numbers on nonnegatively curved spin manifolds

Hsiao, E. and Kotschick, D. (2022): Unbounded Pontryagin numbers on nonnegatively curved spin manifolds. In: Bulletin of the London Mathematical Society, Vol. 54, No. 6: pp. 2314-2323

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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0024-6093
• Language: English
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 491502892