Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions
Geometric Topology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0502303,
title = {Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions},
author = {Thomas W. Mattman and Katura Miyazaki and Kimihiko Motegi},
journal= {arXiv preprint arXiv:math/0502303},
year = {2007}
}
Comments
11 pages, 13 figures, to appear in Trans. A.M.S