English

Positive scalar curvature and a new index theory for noncompact manifolds

K-Theory and Homology 2015-06-15 v1

Abstract

In this article, we develop a new index theory for noncompact manifolds endowed with an admissible exhaustion by compact sets. This index theory allows us to provide examples of noncompact manifolds with exotic positive scalar curvature phenomena.

Keywords

Cite

@article{arxiv.1506.03859,
  title  = {Positive scalar curvature and a new index theory for noncompact manifolds},
  author = {Stanley Chang and Shmuel Weinbeger and Guoliang Yu},
  journal= {arXiv preprint arXiv:1506.03859},
  year   = {2015}
}