On the classification of a large set of rational 3-tangle diagrams
- Authors
- Kwon, Bo-Hyun
- Issue Date
- 11월-2017
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Rational 3-tangle diagram; Dehn parameterization; standard parameterization; four generators of rational 3-tangle diagrams
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.26, no.13
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
- Volume
- 26
- Number
- 13
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/81662
- DOI
- 10.1142/S0218216517500870
- ISSN
- 0218-2165
- Abstract
- We note that a rational 3-tangle diagram is obtained from a combination of four generators. There is an algorithm to distinguish two rational 3-tangle diagrams up to isotopy: [B. Kwon, An algorithm to classify rational 3-tangles, J. Knot Theory Ramifications 24(1) (2015) 1550004]. However, there is no perfect classification about rational 3-tangle diagrams such as the classification of rational 2-tangle diagrams corresponding to rational numbers. In this paper, we classify a large set of rational 3-tangles which are generated by only three generators.
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