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Ribbon knot families via stallings' twists

Part of: Low-dimensional topology

Published online by Cambridge University Press:  09 April 2009

L. Richard Hitt  and
Daniel S. Silver
L. Richard Hitt
Affiliation:
University of South AlabamaMobile, Alabama 36688, U.S.A.
Daniel S. Silver
Affiliation:
University of South AlabamaMobile, Alabama 36688, U.S.A.
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Abstract

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We investigate the effect on the Jones polynomial of a ribbon knot when two of its bands are twisted together. We use our results to prove that each of the three S-equivalence classes of genus 2 fibered doubly slice knots in S3 can be represented by infinitely many distinct prime fibered doubly slice ribbon knots.

Keywords

knotJones polynomialfibered knotdoubly slice knot

MSC classification

Secondary: 57M25: Knots and links in $S^3$

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 3 , June 1991 , pp. 356 - 372
Copyright
Copyright © Australian Mathematical Society 1991

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