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Pontryagin numbers and nonnegative curvature

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 finiteness result for the signature yields a new characterization of the L-genus.

preprint2011arXivOpen access
D. Kotschick
math.GTmath.DG
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