| Authors: | Nigel Higson |
| Title: | K-homology and operators on noncompact manifolds |
| Publication Information: | Unpublished manuscript |
| Abstract: | The purpose of this article is to develop in detail the main theme of the Atiyah/Kasparov approach to K-homology: that elliptic operators determine K-homology classes, in roughly the same sense that closed, oriented manifolds determine classes in ordinary homology, or closed differential forms determine classes in ordinary co-homology. The most significant aspect of the paper is our concern, throughout, with operators on general, open manifolds. |
| Important Remark: | This is a re-typed copy of an earlier manuscript. It has not been checked for typos! |