Knot theory: on the study of chirality of knots through polynomial invariants

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dc.contributor.advisorGutiérrez Marín, Javier J.
dc.contributor.authorJustiniano Claramunt, Sergi
dc.date.accessioned2019-09-17T09:05:07Z
dc.date.available2019-09-17T09:05:07Z
dc.date.issued2019-01-18
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Javier José Gutiérrez Marínca
dc.description.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.ca
dc.format.extent42 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/140139
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Sergi Justiniano Claramunt, 2019
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationTeoria de nusosca
dc.subject.classificationTreballs de fi de grau
dc.subject.classificationPolinomisca
dc.subject.classificationInvariantsca
dc.subject.otherKnot theoryen
dc.subject.otherBachelor's theses
dc.subject.otherPolynomialsen
dc.subject.otherInvariantsen
dc.titleKnot theory: on the study of chirality of knots through polynomial invariantsca
dc.typeinfo:eu-repo/semantics/bachelorThesisca

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Treballs Finals de Grau (TFG) - Matemàtiques