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Numerical computations of complexification of Legendrian knots

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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


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