Title of article :
Seifert fibering surgery on periodic knots
Author/Authors :
Miyazaki، نويسنده , , Katura and Motegi، نويسنده , , Kimihiko، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2002
Abstract :
We show that if a periodic knot K in the 3-sphere yields a Seifert fibered manifold by Dehn surgery, then the quotient of K by the group action generated by any periodic map of K is a torus knot, except for a special case.
o consider what Seifert fibered manifolds are obtained by Dehn surgery on periodic knots. If a non-torus, periodic knot yields a Seifert fibered manifold M, then the base space of M is the 2-sphere; and some pair of exceptional fibers in M has indices coprime provided that M contains at most three exceptional fibers.
Keywords :
Seifert fibered manifold , Factor knot , Periodic knot , Dehn surgery
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications