Homology of finite K-area
classification
🧮 math.DG
math.KT
keywords
homologyk--areatheoryclassiccollectscompactcurvaturedefine
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We use Gromov's K--area to define a generalized homology theory on compact smooth manifolds. In fact, this theory collects obstructions to the enlargeability of the manifold and its nontrivial submanifolds. Moreover, using the K--area homology we can rephrase some classic results about positive scalar curvature.
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