2016
DOI: 10.48550/arxiv.1612.03325
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Ribbon-move-unknotting-number-two 2-knots, pass-move-unknotting-number-two 1-knots, and high dimensional analogue

Eiji Ogasa

Abstract: The (ordinary) unknotting-number of 1-dimensional knots, which is defined by using the crossing-change, is a very basic and important invariant. It is very natural to consider the 'unknotting-number' associated with other local-moves on n-dimensional knots (n ∈ N). In this paper we prove the following facts. For the ribbon-move on 2-knots, which is a kind of local-move on knots, we have the following: There is a ribbon-move-unknotting-number-two 2-knot. The ribbon-move-unknotting-number of 2-knots is unbounded… Show more

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“…In this paper we discuss them. Local moves on high dimensional knots were defined in [27,29,31] and have been researched in [16,18,27,28,29,30,31,32,33,34,35].…”
Section: Pass-movementioning
confidence: 99%
“…In this paper we discuss them. Local moves on high dimensional knots were defined in [27,29,31] and have been researched in [16,18,27,28,29,30,31,32,33,34,35].…”
Section: Pass-movementioning
confidence: 99%