Norms on the cohomology of a 3-manifold and SW theory
| dc.creator | Vidussi, Stefano | |
| dc.date | 2002-04-16 | |
| dc.date.accessioned | 2026-07-07T04:47:45Z | |
| dc.date.available | 2026-07-07T04:47:45Z | |
| dc.description | The aim of this paper is to discuss some applications of the relation between Seiberg-Witten theory and two natural norms defined on the first cohomology group of a closed 3-manifold N - the Alexander and Thurston norms. We start by giving a "new" proof of McMullen's inequality between these norms, and then use these norms to study two problems related to symplectic 4-manifolds of the form S^1xN. First we prove that - as long as N is irreducible - the unit balls of these norms are related in a way similar to the case of fibered 3-manifolds, supporting the conjecture that N is fibered. Second, we provide the first example of a 2-cohomology class on a symplectic manifold that lies in the positive cone and satisfies Taubes' "more constraints", but cannot be represented by a symplectic form. | |
| dc.description | 18 pages, 3 figures. To appear in Pacific J. Math | |
| dc.identifier | https://arxiv.org/abs/math/0204211 | |
| dc.identifier | http://arxiv.org/abs/math/0204211 | |
| dc.identifier | Pacific J. Math. 208 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63839 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R57, 57R17 | |
| dc.title | Norms on the cohomology of a 3-manifold and SW theory | |
| dc.type | text |