Seifert fibered surgeries with distinct primitive/Seifert positions |
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Authors: | Mario Eudave-Muñoz Katura Miyazaki |
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Institution: | a Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, 04510, México DF, Mexico b CIMAT, Guanajuato, Mexico c Faculty of Engineering, Tokyo Denki University, 2-2 Kanda-Nishikicho, Tokyo 101-8457, Japan d Department of Mathematics, Nihon University, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo 156-8550, Japan |
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Abstract: | We call a pair (K,m) of a knot K in the 3-sphere S3 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 S3 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. |
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Keywords: | 57M25 57M50 |
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