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elliptic genus

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Non-Negative Curvature, Elliptic Genus and Unbounded Pontryagin Numbers
Part of
- Global differential geometry
- Differential topology
Martin Herrmann, Nicolas Weisskopf
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 2 / May 2018

Published online by Cambridge University Press:

26 February 2018, pp. 449-456
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We discuss the cobordism type of spin manifolds with non-negative sectional curvature. We show that in each dimension 4k ⩾ 12, there are infinitely many cobordism types of simply connected and non-negatively curved spin manifolds. Moreover, we raise and analyse a question about possible cobordism obstructions to non-negative curvature.