English

Bordism Invariance of the Coarse Index

K-Theory and Homology 2011-03-22 v1

Abstract

We prove bordism invariance of the coarse index of complex elliptic pseudodifferential operators. In our discussion we introduce directed cc-bordisms, whose usefulness is illustrated in the context of existence of uniformly positive scalar curvature metrics on open manifolds.

Keywords

Cite

@article{arxiv.1103.3780,
  title  = {Bordism Invariance of the Coarse Index},
  author = {Christopher Wulff},
  journal= {arXiv preprint arXiv:1103.3780},
  year   = {2011}
}