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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A non-ribbon plumbing of fibered ribbon knots


Author: Lee Rudolph
Journal: Proc. Amer. Math. Soc. 130 (2002), 3741-3743
MSC (2000): Primary 57M25
Published electronically: April 22, 2002
MathSciNet review: 1920056
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Abstract: A closer look at an example introduced by Livingston and Melvin and later studied by Miyazaki shows that a plumbing of two fibered ribbon knots (along their fiber surfaces) may be algebraically slice yet not ribbon.


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Additional Information

Lee Rudolph
Affiliation: Department of Mathematics, Clark University, Worcester, Massachusetts 01610
Email: lrudolph@black.clarku.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06520-6
PII: S 0002-9939(02)06520-6
Keywords: Fibered knot, Murasugi sum, plumbing, ribbon knot
Received by editor(s): July 16, 2001
Received by editor(s) in revised form: August 1, 2001
Published electronically: April 22, 2002
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2002 American Mathematical Society