Homology of finite K-area

Details Homology of finite K-area Homology of finite K-area

2010-07-19

arxiv.org/abs/1007.3166v2

Mathematics

Differential Geometry

Scientific paper

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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