The OU number and Reidemeister moves of type III for link diagrams

Fuente: arXiv
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Autori principali: Sakata, Naoki, Shimizu, Ayaka, Shimokawa, Koya
Natura: Preprint
Pubblicazione: 2026
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author Sakata, Naoki
Shimizu, Ayaka
Shimokawa, Koya
author_facet Sakata, Naoki
Shimizu, Ayaka
Shimokawa, Koya
contents We introduce the non-self OU sequence and the OU number for link diagrams. Using these, we give a lower bound for the number of necessary Reidemeister moves of type III between two diagrams of the same link.
format Preprint
id arxiv_https___arxiv_org_abs_2602_16484
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The OU number and Reidemeister moves of type III for link diagrams
Sakata, Naoki
Shimizu, Ayaka
Shimokawa, Koya
Geometric Topology
We introduce the non-self OU sequence and the OU number for link diagrams. Using these, we give a lower bound for the number of necessary Reidemeister moves of type III between two diagrams of the same link.
title The OU number and Reidemeister moves of type III for link diagrams
topic Geometric Topology
url https://arxiv.org/abs/2602.16484