Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions

2014/07/21 by Eudave-Munoz, Mario, Jasso, Edgar, Miyazaki, Katura +1
#57M25 #57M50 #57N10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1407.5382

Abstract

We find an infinite family of Seifert fibered surgeries on strongly invertible knots which do not have primitive/Seifert positions. Each member of the family is obtained from a trefoil knot after alternate twists along a pair of seiferters for a Seifert fibered surgery on a trefoil knot.

Related

• Neighbors of Seifert surgeries on a trefoil knot in the Seifert Surgery Network
• Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions
• Seifert fibered surgery on Montesinos knots
• Seifert fibered surgeries with distinct primitive/Seifert positions
• Networking Seifert Surgeries on Knots IV: Seiferters and branched coverings