Topology Atlas | Conferences

KNOTS in WASHINGTON XII Conference on Knot Theory and its Ramifications
May 10-12, 2001
George Washington University
Washington, DC, USA

Organizers
Dubravko Ivansic, Ilya Kofman, Jozef H. Przytycki, Yongwu Rong, Akira Yasuhara

Conference Homepage


Impossibility of obtaining split links from split links via twistings
by
Makoto Ozawa
Waseda University

We show that if a split link is obtained from a split link L in S3 by 1/n-Dehn surgery along a trivial knot C, then the link L ∪ C is splittable. That is to say, it is impossible to obtain a split link from a split link via a non-trivial twisting. As its corollary, we completely determine when a trivial link is obtained from a trivial link via a twisting.

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Date received: April 24, 2001

Copyright © 2001 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 # cahj-03.