On Knots with trivial Alexander polynomial
| dc.creator | Garoufalidis, Stavros | |
| dc.creator | Teichner, Peter | |
| dc.date | 2002-06-04 | |
| dc.date | 2003-10-14 | |
| dc.date.accessioned | 2026-07-07T04:48:52Z | |
| dc.date.available | 2026-07-07T04:48:52Z | |
| dc.description | We use the 2-loop term of the Kontsevich integral to show that there are (many) knots with trivial Alexander polynomial which don't have a Seifert surface whose genus equals the rank of the Seifert form. This is one of the first applications of the Kontsevich integral to intrinsically 3-dimensional questions in topology. Our examples contradict a lemma of Mike Freedman, and we explain what went wrong in his argument and why the mistake is irrelevant for topological knot concordance. References updated. | |
| dc.description | LaTeX, 15 pages with 23 figures | |
| dc.identifier | https://arxiv.org/abs/math/0206023 | |
| dc.identifier | http://arxiv.org/abs/math/0206023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64216 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | On Knots with trivial Alexander polynomial | |
| dc.type | text |