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Unbounded Pontryagin numbers on nonnegatively curved spin manifolds

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.

preprint2022arXivOpen access
E. HsiaoD. Kotschick
math.ATmath.DG
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E. HsiaoD. Kotschick

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