Kinoshita–Terasaka knot explained
Kinoshita–Terasaka knot |
Crossing Number: | 11 |
Genus: | 2 |
Thistlethwaite: | 11n42 |
Class: | prime |
Prime: | prime |
Slice: | slice |
In knot theory, the Kinoshita–Terasaka knot is a particular prime knot. It has 11 crossings.[1] The Kinoshita–Terasaka knot has a variety of interesting mathematical properties.[2] It is related by mutation to the Conway knot,[3] with which it shares a Jones polynomial. It has the same Alexander polynomial as the unknot.[4]
External links
Notes and References
- Web site: Conway's Knot . Weisstein . Eric W. . mathworld.wolfram.com . en . 2020-05-19.
- Tillmann . Stephan . June 2000 . On the Kinoshita-Terasaka knot and generalised Conway mutation . Journal of Knot Theory and Its Ramifications . en . 09 . 4 . 557–575 . 10.1142/S0218216500000311 . 0218-2165 .
- Web site: Mutant Knots . Chmutov . S.V. . 2007 . people.math.osu.edu . dead . https://web.archive.org/web/20200612193043/https://people.math.osu.edu/chmutov.1/talks/2007/OSU-10-25-2007/mutants.pdf . 2020-06-12.
- Book: Geometries of Nature, Living Systems and Human Cognition: New Interactions of Mathematics with Natural Sciences and Humanities . 9789814479455 . Boi . Luciano . 2 November 2005.