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Nonnegative curvature, elliptic genus and unbounded Pontryagin numbers

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 نشر من قبل Martin Herrmann
 تاريخ النشر 2014
  مجال البحث
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We discuss the cobordism type of spin manifolds with nonnegative sectional curvature. We show that in each dimension $4k geq 12$, there are infinitely many cobordism types of simply connected and nonnegatively curved spin manifolds. Moreover, we raise and analyze a question about possible cobordism obstructions to nonnegative curvature.

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