A characterisation of the n<1> + <3> form and applications to rational homology spheres
| dc.creator | Owens, Brendan | |
| dc.creator | Strle, Saso | |
| dc.date | 2003-12-12 | |
| dc.date | 2004-04-15 | |
| dc.date.accessioned | 2026-07-07T05:03:53Z | |
| dc.date.available | 2026-07-07T05:03:53Z | |
| dc.description | We conjecture two generalisations of Elkies' theorem on unimodular quadratic forms to non-unimodular forms. We give some evidence for these conjectures including a result for determinant 3. These conjectures, when combined with results of Froyshov and of Ozsvath and Szabo, would give a simple test of whether a rational homology 3-sphere may bound a negative-definite four-manifold. We verify some predictions using Donaldson's theorem. Based on this we compute the four-ball genus of some Montesinos knots. | |
| dc.description | 13 pages; completely rewritten with many new examples | |
| dc.identifier | https://arxiv.org/abs/math/0312266 | |
| dc.identifier | http://arxiv.org/abs/math/0312266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69591 | |
| dc.subject | Geometric Topology | |
| dc.subject | Number Theory | |
| dc.title | A characterisation of the n<1> + <3> form and applications to rational homology spheres | |
| dc.type | text |