Topology Atlas | Conferences

Knots in Washington XXXV
December 7-9, 2012
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Invariants of 4-moves
by
Mieczyslaw K. Dabkowski
University of Texas at Dallas

We give an overview of the Nakanishi 4-move conjecture (1979) and

related 4-move question of Kawauchi (e.g. is any link of

2 components reduced by 4-moves to the trivial link of two components or a

Hopf link?) We present a possible counterexample: the parallel 2-cable of the trefoil

knot (the only possible counterexample of 12 crossings).

Date received: December 11, 2012

Copyright © 2012 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 # cbfw-46.