Nonnegative curvature, elliptic genus and unbounded Pontryagin numbers

2014/12/16 by Herrmann, Martin, Weisskopf, Nicolas
#Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C20 #Secondary 57R75

paper · doi:10.48550/arxiv.1412.4923

Abstract

We discuss the cobordism type of spin manifolds with nonnegative sectional curvature. We show that in each dimension 4k ≥ 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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