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

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

2005-02-15

arxiv.org/abs/math/0502303v1

Mathematics

Geometric Topology

11 pages, 13 figures, to appear in Trans. A.M.S

Scientific paper

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.

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