Smooth s-cobordisms of elliptic 3-manifolds
| dc.creator | Chen, Weimin | |
| dc.date | 2004-03-23 | |
| dc.date | 2006-03-28 | |
| dc.date.accessioned | 2026-07-07T06:36:03Z | |
| dc.date.available | 2026-07-07T06:36:03Z | |
| dc.description | The main result of this paper states that a symplectic s-cobordism of elliptic 3-manifolds is diffeomorphic to a product (assuming a canonical contact structure on the boundary). Based on this theorem, we conjecture that a smooth s-cobordism of elliptic 3-manifolds is smoothly a product if its universal cover is smoothly a product. We explain how the conjecture fits naturally into the program of Taubes of constructing symplectic structures on an oriented smooth 4-manifold from generic self-dual harmonic forms. The paper also contains an auxiliary result of independent interest, which generalizes Taubes' theorem SW --> Gr to the case of symplectic 4-orbifolds. | |
| dc.description | Final version, 63 pages. To appear in Jour. of Diff. Geom. (2006) | |
| dc.identifier | https://arxiv.org/abs/math/0403396 | |
| dc.identifier | http://arxiv.org/abs/math/0403396 | |
| dc.identifier | Jour. of Diff. Geom. {\bf 73} no.3 (2006), 413-490. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99970 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57R80 (Primary), 57R17, 57S17 (Secondary) | |
| dc.title | Smooth s-cobordisms of elliptic 3-manifolds | |
| dc.type | text |