Homology of finite K-area

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.

References in corpus (1)

• Large and small group homology

Cited by in corpus (1)

• Invariance of Finiteness of K-area under Surgery