When does a satellite knot fiber?

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概要

• 論文の詳細を見る

• Necessary and sufficient conditions are given for a satellite knot to be fibered. Any knot $\tilde k$ embeds in an unknotted solid torus $\tilde V$ with arbitrary winding number in such a way that no satellite knot with pattern $(\tilde V, \tilde k)$ is fibered. In particular, there exist nonfibered satellite knots with fibered pattern and companion knots and nonzero winding number.

• 広島大学の論文

著者

• Murasugi Kunio

  Dept Of Mathematics Universityof Toronto Toronto On M5s 2e4 Canada

• Hirasawa Mikami

  Dept of Mathematics Nagoya Institute of Technology Nagoya Aichi 466-8555 JAPAN

• Silver Daniel

  Dept of Mathematics and Statistics University of South alabama Mobile AL 36688 U.S.A

関連論文

• When does a satellite knot fiber?

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