Virtualized Delta, sharp, and pass moves for oriented virtual knots and links

Takuji Nakamura; Yasutaka Nakanishi; Shin Satoh; Kodai Wada

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arXiv · 2401.13195

Virtualized Delta, sharp, and pass moves for oriented virtual knots and links

Takuji Nakamura·Yasutaka Nakanishi·Shin Satoh·Kodai Wada

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Abstract

We study virtualized Delta, sharp, and pass moves for oriented virtual links, and give necessary and sufficient conditions for two oriented virtual links to be related by the local moves. In particular, they are unknotting operations for oriented virtual knots. We provide lower bounds for the unknotting numbers and prove that they are best possible.

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Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh, Kodai Wada. 2024-01-24. Virtualized Delta, sharp, and pass moves for oriented virtual knots and links. https://arxiv.org/abs/2401.13195

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