Rational moves and tangle embeddings: (2,2)-moves as a case study
| dc.creator | Dabkowski, Mieczyslaw K. | |
| dc.creator | Ishiwata, Makiko | |
| dc.creator | Przytycki, Jozef H. | |
| dc.date | 2005-01-29 | |
| dc.date.accessioned | 2026-07-07T05:16:32Z | |
| dc.date.available | 2026-07-07T05:16:32Z | |
| dc.description | We classify 3-braids up to (2,2)-move equivalence and in particular we show how to adjust the Harikae-Nakanishi-Uchida conjecture so it holds for closed 3-braids. As important steps to classify 3-braids up to (2,2)-move equivalence we prove the conjecture for 2-algebraic links and classify (2,2)-equivalence classes for links up to nine crossings. We analyze the behavior of Kei (involutive quandle) associated to a link under (2,2)-moves. We construct Burnside Kei, Q(m,n), and ask the question, motivated by classical Burnside question: for which values of m and n, is Q(m,n) finite? | |
| dc.description | 15 pages, 17 figures; this e-print is an English version of the paper which will appear in "Topology of Knots VII" (Proceeding of the Conference Topology of Knots VII, Dec. 23-26, 2004, TWCU), February, 2005, 37-46 (in Japanese) | |
| dc.identifier | https://arxiv.org/abs/math/0501539 | |
| dc.identifier | http://arxiv.org/abs/math/0501539 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74020 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 (Primary) 57M27 (Secondary) | |
| dc.title | Rational moves and tangle embeddings: (2,2)-moves as a case study | |
| dc.type | text |