Numerical computations of complexification of Legendrian knots

dc.contributor.author	Yerzhigit, Bauyrzhan
dc.contributor.editor	Lawrence, Mark
dc.contributor.other	Tourassis, Vassilios D.
dc.date.accessioned	2019-08-29T09:36:15Z
dc.date.available	2019-08-29T09:36:15Z
dc.date.issued	2019-04-29
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/4196
dc.description.abstract	With the recent interest in knots, it is interesting to study their complexification. We have chosen to study Legendrian knots as they have the property that we can reconstruct the original knot from its projection. This property is especially useful in the case of the complexification of a knot as in this case the diagram of the projection of the knot is no longer real. In this paper we show a way to compute complex rational functions that have a Legendrian knot as an image under unit circle.	en_US
dc.language.iso	en	en_US
dc.publisher	Nazarbayev University School of Science and Technology	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	Research Subject Categories::MATHEMATICS::Applied mathematics	en_US
dc.subject	Legendrian knots	en_US
dc.subject	knot complexification	en_US
dc.subject	complex rational functions	en_US
dc.title	Numerical computations of complexification of Legendrian knots	en_US
dc.type	Master's thesis	en_US
workflow.import.source	science