Journal article
Solving oriented tangle equations involving 4-plats
Journal of knot theory and its ramifications, Vol.14(8), pp.1007-1027
2005
DOI: 10.1142/S0218216505004214
Abstract
The system of unoriented tangle equations [Formula: see text] and [Formula: see text] is completely solved for the tangles U and [Formula: see text] as a function of [Formula: see text] where K 1 and K 2 are 4-plats, and [Formula: see text] and [Formula: see text] rational tangles such that |f 1 g 2 - g 1 f 2 | > 1. As an application, it is completely determined when one 4-plat can be obtained from another 4-plat via a signed crossing change.
Details
- Title: Subtitle
- Solving oriented tangle equations involving 4-plats
- Creators
- Isabel K Darcy
- Resource Type
- Journal article
- Publication Details
- Journal of knot theory and its ramifications, Vol.14(8), pp.1007-1027
- DOI
- 10.1142/S0218216505004214
- ISSN
- 0218-2165
- eISSN
- 1793-6527
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985991402771
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