Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/140139
Knot theory: on the study of chirality of knots through polynomial invariants
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[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.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Javier José Gutiérrez Marín
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JUSTINIANO CLARAMUNT, Sergi. Knot theory: on the study of chirality of knots through polynomial invariants. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/140139