Cárdenas-Pérez, Victor A.

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R-torsion on (2,n)-torus knots.
(2018-11-02) Cárdenas-Pérez, Victor A.; Ortiz-Navarro, Juan A.; College of Arts and Sciences - Art; Ortiz-Albino, Reyes M.; Romero-Oliveras, Juan A.; Department of Mathematics; Cabrera-Rios, Mauricio
This 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.