Homology of finite K-area
Differential Geometry
2010-08-03 v2 K-Theory and Homology
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.
Cite
@article{arxiv.1007.3166,
title = {Homology of finite K-area},
author = {Mario Listing},
journal= {arXiv preprint arXiv:1007.3166},
year = {2010}
}