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oaioai:repository.lsu.edu:gradschool_dissertations-7016

On a Relation Between ADO and Links-Gould Invariants

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Publication date
12 July 2022
Publisher
LSU Scholarly Repository
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    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

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    Louisiana State University

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    Last time updated on 26/10/2023

    This paper was published in Louisiana State University.

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