DEHN SURGERIES ON 2-BRIDGE LINKS WHICH YIELD REDUCIBLE 3-MANIFOLDS-Reference-Cited by-同舟云学术

DEHN SURGERIES ON 2-BRIDGE LINKS WHICH YIELD REDUCIBLE 3-MANIFOLDS

Published:2009-07 Issue:07 Volume:18 Page:917-956
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

GODA HIROSHI¹,HAYASHI CHUICHIRO²,SONG HYUN-JONG³

Affiliation:

1. Department of Mathematics, Tokyo University of Agriculture and Technology, Koganei, Tokyo, 184-8588, Japan

2. Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women's University, 2-8-1 Mejirodai Bunkyo-ku Tokyo, 112-8681, Japan

3. Division of Mathematical Sciences, Pukyong National University, 599-1 Daeyondong, Namgu, Pusan 608-737, Korea

Abstract

We completely determine which Dehn surgeries on 2-bridge links yield reducible 3-manifolds. Further, we consider which surgery on one component of a 2-bridge link yields a torus knot, a cable knot and a satellite knot in this paper.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216509007233

Reference12 articles.

1. The classification of exceptional Dehn surgeries on 2-bridge knots

2. Essential Laminations in 3-Manifolds

3. A criterion for satellite 1-genus 1-bridge knots

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Complete exceptional surgeries on two-bridge links;Kodai Mathematical Journal;2024-06-28

2. A cabling conjecture for knots in lens spaces;Boletín de la Sociedad Matemática Mexicana;2014-08-05

3. Exceptional surgeries on components of 2-bridge links;Archiv der Mathematik;2012-07