Cusp geometry and the cobordism invariance of the index
| dc.creator | Moroianu, Sergiu | |
| dc.date | 2003-05-28 | |
| dc.date | 2004-07-13 | |
| dc.date.accessioned | 2026-07-07T06:31:41Z | |
| dc.date.available | 2026-07-07T06:31:41Z | |
| dc.description | The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a compact manifold with corners, the existence of a symmetric cusp differential operator of order 1 and of Dirac type near the boundary implies that the sum of the indices of the induced operators on the hyperfaces is null. | |
| dc.description | 17 pages, abridged version, to appear in Adv. Math | |
| dc.identifier | https://arxiv.org/abs/math/0305395 | |
| dc.identifier | http://arxiv.org/abs/math/0305395 | |
| dc.identifier | Adv. Math. 194 (2005), 504-519 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98679 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J20,58J42 | |
| dc.title | Cusp geometry and the cobordism invariance of the index | |
| dc.type | text |