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Title: Knot theory: on the study of chirality of knots through polynomial invariants
Author: Justiniano Claramunt, Sergi
Director/Tutor: Gutiérrez Marín, Javier J.
Keywords: Teoria de nusos
Treballs de fi de grau
Knot theory
Bachelor's thesis
Issue Date: 18-Jan-2019
Abstract: [en] In this project we introduce the theory of knots and specialize in the computation of the knot polynomials. After presenting the Jones polynomial, its two two-variable generalizations are also introduced: the Kauffman and HOMFLY polynomial. Then we study the ability of these polynomials on detecting chirality, obtaining a knot not detected chiral by the HOMFLY polynomial, but detected chiral by the Kauffman polynomial.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Javier José Gutiérrez Marín
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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