Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Nakamura, Kazumichi
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215114248