Positive links are strongly quasipositive
| dc.creator | Rudolph, Lee | |
| dc.date | 1998-04-01 | |
| dc.date | 1999-11-21 | |
| dc.date.accessioned | 2026-07-07T05:24:17Z | |
| dc.date.available | 2026-07-07T05:24:17Z | |
| dc.description | Let S(D) be the surface produced by applying Seifert's algorithm to the oriented link diagram D. I prove that if D has no negative crossings then S(D) is a quasipositive Seifert surface, that is, S(D) embeds incompressibly on a fiber surface plumbed from positive Hopf annuli. This result, combined with the truth of the `local Thom Conjecture', has various interesting consequences; for instance, it yields an easily-computed estimate for the slice euler characteristic of the link L(D) (where D is arbitrary) that extends and often improves the `slice-Bennequin inequality' for closed-braid diagrams; and it leads to yet another proof of the chirality of positive and almost positive knots. | |
| dc.description | 8 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper25.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/9804003 | |
| dc.identifier | http://arxiv.org/abs/math/9804003 | |
| dc.identifier | Geom. Topol. Monogr. 2 (1999), 555-562 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76776 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 32S55, 14H99 | |
| dc.title | Positive links are strongly quasipositive | |
| dc.type | text |