On some classes of hyperbolic knots with the 3-sphere surgery |
| |
Authors: | Alberto Cavicchioli Toshio Saito |
| |
Affiliation: | a Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy b Department of Mathematics, Joetsu University of Education, 1 Yamayashiki, Joetsu 943-8512, Japan |
| |
Abstract: | For the distance of (1,1)-splittings of a knot in a closed orientable 3-manifold, it is an important problem whether a (1,1)-knot can admit (1,1)-splittings of different distances. In this paper, we give one-parameter families of hyperbolic (1,1)-knots such that each (1,1)-knot admits a Dehn surgery yielding the 3-sphere. It is remarkable that such knots are the first concrete examples each of whose (1,1)-splittings is of distance three. |
| |
Keywords: | 57N10 57M25 |
本文献已被 ScienceDirect 等数据库收录! |
|