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dc.contributor.advisorOrtiz-Navarro, Juan A.
dc.contributor.authorCárdenas-Pérez, Victor Adolfo
dc.date.accessioned2018-12-13T11:28:58Z
dc.date.available2018-12-13T11:28:58Z
dc.date.issued2018-11-02
dc.identifier.urihttps://hdl.handle.net/20.500.11801/1608
dc.description.abstractThis thesis study the (2,n)-torus knots, uses the Khovanov Homology and Reidemeister Torsion. We show the study made to the Khovanov Homology Groups H^r, for r = -n, -n+1, -1; 0. These are isomorphics to either Z, Z_2 or some direct sum of copies of them. Finally, we applied the Redeimeister Torsion to the chain subcomplexes with polynomial degree of -3n, -3n + 2 and 2 - n using the same class of knots.en_US
dc.language.isoenen_US
dc.subjectR-torsionen_US
dc.subjectKhovanov homologyen_US
dc.subjectTorus knotsen_US
dc.subjectInvariantsen_US
dc.subject.lcshKnot theoryen_US
dc.subject.lcshReidemeister torsionen_US
dc.subject.lcshTorsion theory (Algebra)en_US
dc.subject.lcshPolynomialsen_US
dc.subject.lcshHomology theoryen_US
dc.subject.lcshIsomorphisms (Mathematics)en_US
dc.titleR-torsion on (2,n)-torus knots.en_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holder(c) 2018 Víctor Adolfo Cárdenas-Pérezen_US
dc.contributor.committeeOrtiz-Albino, Reyes M.
dc.contributor.committeeRomero-Oliveras, Juan A.
dc.contributor.representativeCabrera-Rios, Mauricio
thesis.degree.levelM.S.en_US
thesis.degree.disciplinePure Mathematicsen_US
dc.type.thesisThesisen_US
dc.contributor.collegeCollege of Arts and Sciences - Arten_US
dc.contributor.departmentDepartment of Mathematicsen_US
dc.description.graduationSemesterFallen_US
dc.description.graduationYear2019en_US


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