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Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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The alternation number and the Rasmussen invariant
by
Tetsuya Abe
Osaka City University

The alternation number of a knot is an obstruction to the knot being alternating, which is defined to be the minimal number of crossing changes needed to deform the knot into an alternating knot. We give a lower bound for the alternation number of a knot by using the Rasmussen's s-invariant and the signature of a knot.

Date received: December 1, 2008

Copyright © 2008 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 # caxq-50.