Publication:
R-torsion on (2,n)-torus knots.
R-torsion on (2,n)-torus knots.
Authors
Cárdenas-Pérez, Victor A.
Embargoed Until
Advisor
Ortiz-Navarro, Juan A.
College
College of Arts and Sciences - Art
Department
Department of Mathematics
Degree Level
M.S.
Publisher
Date
2018-11-02
Abstract
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.
Keywords
R-torsion,
Khovanov homology,
Torus knots,
Invariants
Khovanov homology,
Torus knots,
Invariants
Usage Rights
Persistent URL
Cite
Cárdenas-Pérez, V. A. (2018). R-torsion on (2,n)-torus knots. [Thesis]. Retrieved from https://hdl.handle.net/20.500.11801/1608