|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Elliptic operators on manifolds with singularities and K-homology | | A. Savin
; | | Date: |
20 Mar 2004 | | Journal: | K-Theory, Vol. 34, No. 1. (January 2005), pp. 71-98 DOI: 10.1007/s10977-005-1515-1 | | Subject: | Operator Algebras; Analysis of PDEs; K-Theory and Homology MSC-class: 58J05 19K33 35S35 47L15 | math.OA math.AP math.KT | | Abstract: | It is well known that elliptic operators on a smooth compact manifold are classified by K-homology. We prove that a similar classification is also valid for manifolds with simplest singularities: isolated conical points and fibered boundary. The main ingredients of the proof of these results are: an analog of the Atiyah-Singer difference construction in the noncommutative case and an analog of Poincare isomorphism in K-theory for our singular manifolds. As applications we give a formula in topological terms for the obstruction to Fredholm problems on manifolds with singularities and a formula for K-groups of algebras of pseudodifferential operators. | | Source: | arXiv, math.OA/0403335 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER