Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
In this thesis we consider two knot invariants: Akutsu-Deguchi-Ohtsuki(ADO) invariant and Links-Gould invariant. They both are based on Reshetikhin-Turaev construction and as such share a lot of similarities. Moreover, they are both related to the Alexander polynomial and may be considered generalizations of it. By experimentation we found that for many knots, the third order ADO invariant is a specialization of the Links-Gould invariant. The main result of the thesis is a proof of this relation for a large class of knots, specifically closures of braids with five strands.
Date
7-12-2022
Recommended Citation
Takenov, Nurdin, "On a Relation Between ADO and Links-Gould Invariants" (2022). LSU Doctoral Dissertations. 5912.
https://repository.lsu.edu/gradschool_dissertations/5912
Committee Chair
Dasbach, Oliver
DOI
10.31390/gradschool_dissertations.5912