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arXiv · 1007.3166

Homology of finite K-area

Mario Listing
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Abstract

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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Mario Listing. 2010-08-02. Homology of finite K-area. https://arxiv.org/abs/1007.3166

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