Dirac operators on manifolds with periodic ends
| dc.creator | Ruberman, Daniel | |
| dc.creator | Saveliev, Nikolai | |
| dc.date | 2007-02-09 | |
| dc.date | 2007-04-11 | |
| dc.date.accessioned | 2026-07-07T07:56:03Z | |
| dc.date.available | 2026-07-07T07:56:03Z | |
| dc.description | This paper studies Dirac operators on end-periodic spin manifolds of dimension at least 4. We provide a sufficient condition for such an operator to be Fredholm for a generic end-periodic metric; this condition is shown to be necessary in dimension 4. We make use of end-periodic Dirac operators to give an analytical interpretation of an invariant of non-orientable smooth 4-manifolds due to Cappell and Shaneson. From this interpretation we show that some exotic non-orientable 4-manifolds do not admit a metric of positive scalar curvature. | |
| dc.description | 22 pages. Additional references and acknowledgements added | |
| dc.identifier | https://arxiv.org/abs/math/0702271 | |
| dc.identifier | http://arxiv.org/abs/math/0702271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127167 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57R57; 58J20 | |
| dc.title | Dirac operators on manifolds with periodic ends | |
| dc.type | text |