Special issue: 2014 KOOK-TAPU Workshop on Knot Theory and Related TopicsNo Access

On unknotting operations of rotation type

Yongju Bae

Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea

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and

Byeorhi Kim

Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea

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https://doi.org/10.1142/S021821651540009XCited by:0 (Source: Crossref)

Abstract

An unknotting operation is a local move on a knot diagram such that any knot diagram can be transformed into a diagram of the unknot by a finite sequence of the operations and Reidemeister moves. In this paper, we introduce a new local move H(T) on a knot diagram which is obtained by the rotation of a tangle diagram T and study their properties. As an application, we prove that the H(T)-move is an unknotting operation for any descending tangle diagram T.

Keywords:

AMSC: 57M25, 57M27

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