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Non-Negative Curvature, Elliptic Genus and Unbounded Pontryagin Numbers
Published online by Cambridge University Press: 26 February 2018
Abstract
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.
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- Copyright © Edinburgh Mathematical Society 2018
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