Gutiérrez Marín, Javier J.Justiniano Claramunt, Sergi2019-09-172019-09-172019-01-18https://hdl.handle.net/2445/140139Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Javier José Gutiérrez Marín[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.42 p.application/pdfengcc-by-nc-nd (c) Sergi Justiniano Claramunt, 2019http://creativecommons.org/licenses/by-nc-nd/3.0/es/Teoria de nusosTreballs de fi de grauPolinomisInvariantsKnot theoryBachelor's thesesPolynomialsInvariantsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess