Alexander and Thurston norms of graph links
| dc.creator | Long, David G. | |
| dc.date | 2008-08-07 | |
| dc.date.accessioned | 2026-07-07T09:55:26Z | |
| dc.date.available | 2026-07-07T09:55:26Z | |
| dc.description | We show that the Alexander and Thurston norms are the same for all irreducible Eisenbud-Neumann graph links in homology 3-spheres. These are the links obtained by splicing Seifert links in homology 3-spheres together along tori. By combining this result with previous results, we prove that the two norms coincide for all links in S^3 if either of the following two conditions are met; the link is a graph link, so that the JSJ decomposition of its complement in S^3 is made up of pieces which are all Seifert-fibered, or the link is alternating and not a (2,n)-torus link, so that the JSJ decomposition of its complement in S^3 is made up of pieces which are all hyperbolic. We use the E-N obstructions to fibrations for graph links together with the Thurston cone theorem on link fibrations to deduce that every facet of the reduced Thurston norm unit ball of a graph link is a fibered facet. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0808.1066 | |
| dc.identifier | http://arxiv.org/abs/0808.1066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166627 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57M27 | |
| dc.title | Alexander and Thurston norms of graph links | |
| dc.type | text |