Free Seifert surfaces and disk decompositions
| dc.creator | Brittenham, Mark | |
| dc.date | 1999-10-13 | |
| dc.date | 1999-10-13 | |
| dc.date.accessioned | 2026-07-07T05:31:09Z | |
| dc.date.available | 2026-07-07T05:31:09Z | |
| dc.description | A Seifert surface F for a knot K is disk decomposable if there is a taut sutured manifold heirarchy for the complement of F, whose decomposing surfaces are all disks. It follows that F has minimal genus for the knot K, and has handlebody complement, i.e., F is free. We show that these necessary conditions for disk decomposability are not sufficient, by constructing a family of knots with genus one free Seifert surfaces, which are not disk decomposable. | |
| dc.description | 14 pages, with 18 figures (in color). For a version with figures in black and white (which prints better), visit http://www.math.unl.edu/~mbritten/personal/pprdescr.html | |
| dc.identifier | https://arxiv.org/abs/math/9910066 | |
| dc.identifier | http://arxiv.org/abs/math/9910066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79236 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Free Seifert surfaces and disk decompositions | |
| dc.type | text |