Relative K-area homology and applications
Differential Geometry
2013-10-03 v1 Algebraic Topology
Abstract
We show an Uhlenbeck type estimate for closed simply connected manifolds which provides the existence of certain exact sequences in K-area homology. This leads to the behavior of the K-area homology under surgery. Moreover, we give an index theoretic obstruction to positive scalar curvature on compact spin manifolds with boundary.
Keywords
Cite
@article{arxiv.1310.0755,
title = {Relative K-area homology and applications},
author = {Mario Listing},
journal= {arXiv preprint arXiv:1310.0755},
year = {2013}
}