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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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Cn-moves and periodic knots
by
Takuji Nakamura
Osaka Electro-Communication university

For each local move T, we can define the T-gordian distance for two knots. Our motivation is to research a relationship between the periodicity of knots and T-gordian distance. In this talk, we pay attention to Cn-move. In fact we show that for any p and any n( > 2) there exists a periodic knot of period p whose Cn-gordian distance to the trivial knot is one. We will mention this result about other local moves.

Date received: November 27, 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-36.