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arXiv · 2609.39565

Montesinos Knots with Delta-Unknotting Number One

Kazumichi Nakamura
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Abstract

The $Δ$-unknotting number for a knot is defined as the minimum number of $Δ$-moves needed to deform the knot into the trivial knot. In this paper, we discuss Montesinos knots whose $Δ$-unknotting number is equal to one. We propose a conjectural characterization of Montesinos knots with $Δ$-unknotting number one and provide examples admitting distinct $Δ$-moves, each of which deforms the knot into the trivial knot.

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Kazumichi Nakamura. 2026-09-30. Montesinos Knots with Delta-Unknotting Number One. https://arxiv.org/abs/2609.39565

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