Morse position of knots and closed incompressible surfaces
| dc.creator | Ozawa, Makoto | |
| dc.date | 2005-03-18 | |
| dc.date | 2006-11-13 | |
| dc.date.accessioned | 2026-07-07T06:39:36Z | |
| dc.date.available | 2026-07-07T06:39:36Z | |
| dc.description | In this paper, we study on knots and closed incompressible surfaces in the 3-sphere via Morse functions. We show that both of knots and closed incompressible surfaces can be isotoped into a "related Morse position" simultaneously. As an application, we have following results. *Smallness of Montesinos tangles with length two and Kinoshita's theta curve *Classification of closed incompressible and meridionally incompressible surfaces in 2-bridge theta-curve and handcuff graph complements and the complements of links which admit Hopf tangle decompositions. | |
| dc.description | 20 pages, 17 figures. This version (v6) is a final version to appear in J. Knot Theory and its Ramifications | |
| dc.identifier | https://arxiv.org/abs/math/0503375 | |
| dc.identifier | http://arxiv.org/abs/math/0503375 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101138 | |
| dc.subject | Geometric Topology | |
| dc.subject | Primary 57M25, 57M50; Secondary 57Q35, 57Q37 | |
| dc.title | Morse position of knots and closed incompressible surfaces | |
| dc.type | text |