When does a satellite knot fiber?

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Necessary and sufficient conditions are given for a satellite knot to be fibered. Any knot $\tilde k$ embeds in an unknotted solid torus $\tilde V$ with arbitrary winding number in such a way that no satellite knot with pattern $(\tilde V, \tilde k)$ is fibered. In particular, there exist nonfibered satellite knots with fibered pattern and companion knots and nonzero winding number.
11 pages, 8 figures

Keywords

Geometric Topology, 57M25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/128168

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.0012
 http://arxiv.org/abs/0705.0012

Collections

arXiv