Elliptic operators on manifolds with singularities and K-homology
| dc.creator | Savin, A. | |
| dc.date | 2004-03-20 | |
| dc.date | 2005-03-13 | |
| dc.date.accessioned | 2026-07-07T05:06:35Z | |
| dc.date.available | 2026-07-07T05:06:35Z | |
| dc.description | 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. | |
| dc.description | revised version; 25 pages; section with applications expanded | |
| dc.identifier | https://arxiv.org/abs/math/0403335 | |
| dc.identifier | http://arxiv.org/abs/math/0403335 | |
| dc.identifier | K-Theory, Vol. 34, No. 1. (January 2005), pp. 71-98 | |
| dc.identifier | doi:10.1007/s10977-005-1515-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70523 | |
| dc.subject | Operator Algebras | |
| dc.subject | Analysis of PDEs | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 58J05 19K33 35S35 47L15 | |
| dc.title | Elliptic operators on manifolds with singularities and K-homology | |
| dc.type | text |