Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We construct two infinite families of knots each of which admits a Seifert fibered surgery with none of these surgeries coming from Dean's primitive/Seifert-fibered construction. This disproves a conjecture that all Seifert fibered surgeries arise from Dean's primitive/Seifert-fibered construction. The (-3,3,5)-pretzel knot belongs to both of the infinite families.
11 pages, 13 figures, to appear in Trans. A.M.S

Keywords

Geometric Topology, 57M25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74201

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502303
 http://arxiv.org/abs/math/0502303

Collections

arXiv