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When is arc crossing change an unknotting operation?

Year: 2025

Type: preprint

Abstract: This paper extends the study of arc crossing change, a local operation on knot diagrams recently introduced by Cericola, from knot diagrams to link diagrams. We consider two types of arc crossing change on link diagrams and discuss when they are unknotting operations. Furthermore, we show that any two crossing points in an alternating knot diagram are arc crossing change admissible.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2509.08341

Authors: Cheng, Zhiyun, Liao, Qian, Song, Jingze

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4417065182

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