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Knots in Washington XLIII; 60th birthday of J. Scott Carter
December 9-11, 2016
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Alexander polynomials of simple-ribbon knots
by
Tatsuya Tsukamoto
Osaka Institute of Technology
Coauthors: Tsuneo Ishikawa, Kengo Kishimoto, Tetsuo Shibuya

An SRm-fusion is a certain m-ribbon fusion and an SRm-knot is a knot obtained from the trivial knot by SRm-fusions, where m is a non-negative integer.

We determine the Alexander polynomials of SRm-knots. For distinct non-negative integers m and n, we also give a necessary condition for knots to be an SRm-knot and an SRn-knot.

Date received: November 20, 2016


Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbnq-29.