Show simple item record

dc.contributor.advisorOrtiz-Navarro, Juan A.
dc.contributor.authorCárdenas-Pérez, Victor A.
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.subjectKhovanov homologyen_US
dc.subjectTorus knotsen_US
dc.subject.lcshKnot theoryen_US
dc.subject.lcshReidemeister torsionen_US
dc.subject.lcshTorsion theory (Algebra)en_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 Mathematicsen_US
dc.contributor.collegeCollege of Arts and Sciences - Arten_US
dc.contributor.departmentDepartment of Mathematicsen_US

Files in this item


This item appears in the following Collection(s)

  • Theses & Dissertations
    Items included under this collection are theses, dissertations, and project reports submitted as a requirement for completing a graduate degree at UPR-Mayagüez.

Show simple item record

All rights reserved
Except where otherwise noted, this item's license is described as All Rights Reserved