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Abstract
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We display further examples of ribbon knots with different symmetric union
presentations. We show that these pairs of symmetric union diagrams are not
symmetrically equivalent by the refined version of the Jones polynomial defined
by Eisermann and Lamm or a certain technique introduced by Collari and
Lisca.
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Keywords
ribbon knot, symmetric union presentation, symmetrically
equivalence of symmetric union diagrams, refined Jones
polynomial, Collari and Lisca's technique, Kauffman
polynomial
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Mathematical Subject Classification
Primary: 57K10, 57K14
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Milestones
Received: 14 December 2021
Revised: 31 March 2022
Accepted: 31 March 2022
Published: 14 April 2023
Communicated by Kenneth S. Berenhaut
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© 2023 MSP (Mathematical Sciences
Publishers). |
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