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November 2008 When does a satellite knot fiber?
Mikami Hirasawa, Kunio Murasugi, Daniel S. Silver
Hiroshima Math. J. 38(3): 411-423 (November 2008). DOI: 10.32917/hmj/1233152778

Abstract

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.

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Mikami Hirasawa. Kunio Murasugi. Daniel S. Silver. "When does a satellite knot fiber?." Hiroshima Math. J. 38 (3) 411 - 423, November 2008. https://doi.org/10.32917/hmj/1233152778

Information

Published: November 2008
First available in Project Euclid: 28 January 2009

zbMATH: 1180.57011
MathSciNet: MR2477750
Digital Object Identifier: 10.32917/hmj/1233152778

Subjects:
Primary: 57M25

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

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Vol.38 • No. 3 • November 2008
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