Title of article :
Seifert fibered surgeries with distinct primitive/Seifert positions
Author/Authors :
Eudave-Muٌoz، نويسنده , , Mario and Miyazaki، نويسنده , , Katura and Motegi، نويسنده , , Kimihiko، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2012
Abstract :
We call a pair ( K , m ) of a knot K in the 3-sphere S 3 and an integer m a Seifert fibered surgery if m-surgery on K yields a Seifert fiber space. For most known Seifert fibered surgeries ( K , m ) , K can be embedded in a genus 2 Heegaard surface of S 3 in a primitive/Seifert position, the concept introduced by Dean as a natural extension of primitive/primitive position defined by Berge. Recently Guntel has given an infinite family of Seifert fibered surgeries each of which has distinct primitive/Seifert positions. In this paper we give yet other infinite families of Seifert fibered surgeries with distinct primitive/Seifert positions from a different point of view.
Keywords :
Dehn surgery , Seifert fiber space , Primitive/Seifert position
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications