A NOTE ON 4-EQUIVALENCE

Author:

ASKITAS NIKOLAOS A.12

Affiliation:

1. 131A/K – M.Π.Π, Greece

2. Mathematics Department, Aristoteles University, GR-54006, Thessaloniki, Greece

Abstract

The simplest potential counterexample to Y. Nakanishi's, 20 year old, conjecture that the 4-move is an unknotting operation is unknotted using 4-moves (Problem 1.59, 3a in the Kirby Problem List) thus showing it to not be one.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Slavik Jablan’s work on 4-moves;Journal of Knot Theory and Its Ramifications;2016-08

2. 4-MOVES AND THE DABKOWSKI–SAHI INVARIANT FOR KNOTS;Journal of Knot Theory and Its Ramifications;2013-10

3. ON 4-MOVE EQUIVALENCE CLASSES OF KNOTS AND LINKS OF TWO COMPONENTS;Journal of Knot Theory and Its Ramifications;2011-01

4. NEW INVARIANT OF 4-MOVES;Journal of Knot Theory and Its Ramifications;2007-12

5. Skein module deformations of elementary moves on links;Invariants of Knots and 3--manifolds (Kyoto 2001);2003-11-13

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