The Classification of Dehn fillings on the outer torus of a 1-bridge braid exterior which produce solid tori
| dc.creator | Wu, Ying-Qing | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T07:29:33Z | |
| dc.date.available | 2026-07-07T07:29:33Z | |
| dc.description | Let $K= K(w,b,t)$ be a 1-bridge braid in a solid torus $V$, and let $γ$ be a $(p,q)$ curve on the torus $T = \partial V$ of the exterior $M_K$ of $K$. It will be shown that Dehn filling on $T$ along $γ$ produces a solid torus if and only if $p$ and $q$ satisfy one of four conditions determined by the parameters $(w,b,t)$ of the knot $K$. This solves the classification problem raised by Menasco and Zhang for such Dehn fillings. | |
| dc.identifier | https://arxiv.org/abs/math/0610868 | |
| dc.identifier | http://arxiv.org/abs/math/0610868 | |
| dc.identifier | Math. Ann. 330 (2004), 1--15 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118153 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 | |
| dc.title | The Classification of Dehn fillings on the outer torus of a 1-bridge braid exterior which produce solid tori | |
| dc.type | text |