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Organizers |
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.