Abstract
We prove that any rational linear combination of Pontryagin numbers that is not a multiple of the signature is unbounded on connected closed oriented manifolds of nonnegative sectional curvature. Combining our result with Gromov's boundedness result for the signature yields a new characterization of the L -genus.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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