R-torsion on (2,n)-torus knots.

Cárdenas-Pérez, Victor A.

Publication:

R-torsion on (2,n)-torus knots.

dc.contributor.advisor	Ortiz-Navarro, Juan A.
dc.contributor.author	Cárdenas-Pérez, Victor A.
dc.contributor.college	College of Arts and Sciences - Art	en_US
dc.contributor.committee	Ortiz-Albino, Reyes M.
dc.contributor.committee	Romero-Oliveras, Juan A.
dc.contributor.department	Department of Mathematics	en_US
dc.contributor.representative	Cabrera-Rios, Mauricio
dc.date.accessioned	2018-12-13T11:28:58Z
dc.date.available	2018-12-13T11:28:58Z
dc.date.issued	2018-11-02
dc.description.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.	en_US
dc.description.graduationSemester	Fall	en_US
dc.description.graduationYear	2019	en_US
dc.identifier.uri	https://hdl.handle.net/20.500.11801/1608
dc.language.iso	en	en_US
dc.rights.holder	(c) 2018 Víctor Adolfo Cárdenas-Pérez	en_US
dc.rights.license	All rights reserved	en_US
dc.subject	R-torsion	en_US
dc.subject	Khovanov homology	en_US
dc.subject	Torus knots	en_US
dc.subject	Invariants	en_US
dc.subject.lcsh	Knot theory	en_US
dc.subject.lcsh	Reidemeister torsion	en_US
dc.subject.lcsh	Torsion theory (Algebra)	en_US
dc.subject.lcsh	Polynomials	en_US
dc.subject.lcsh	Homology theory	en_US
dc.subject.lcsh	Isomorphisms (Mathematics)	en_US
dc.title	R-torsion on (2,n)-torus knots.	en_US
dc.type	Thesis	en_US
dspace.entity.type	Publication
thesis.degree.discipline	Pure Mathematics	en_US
thesis.degree.level	M.S.	en_US