A surgery view of boundary links
| dc.creator | Garoufalidis, Stavros | |
| dc.creator | Kricker, Andrew | |
| dc.date | 2002-05-31 | |
| dc.date | 2002-10-31 | |
| dc.date.accessioned | 2026-07-07T04:48:49Z | |
| dc.date.available | 2026-07-07T04:48:49Z | |
| dc.description | A celebrated theorem of Kirby identifies the set of closed oriented connected 3-manifolds with the set of framed links in $S^3$ modulo two moves. We give a similar description for the set of knots (and more generally, boundary links) in homology 3-spheres. As an application, we define a noncommutative version of the Alexander polynomial of a boundary link. Our surgery view of boundary links is a key ingredient in a construction of a rational version of the Kontsevich integral, which is described in subsequent work. The current version fixes minor typographical errors. | |
| dc.description | LaTeX, 8 pages with 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0205328 | |
| dc.identifier | http://arxiv.org/abs/math/0205328 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64196 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | A surgery view of boundary links | |
| dc.type | text |