Senior Honors Projects, 2020-current

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Date of Graduation

5-8-2020

Document Type

Thesis

Degree Name

Bachelor of Arts (BA)

Department

Department of Mathematics and Statistics

Advisor(s)

Leonard Van Wyk

Abstract

Knot polynomials are polynomial equations that are assigned to knot projections based on the mathematical properties of the knots. They are also invariants, or properties of knots that do not change under ambient isotopy. In other words, given an invariant α for a knot K, α is the same for any projection of K. We will define these knot polynomials and explain the processes by which one finds them for a given knot projection. We will also compare the relative usefulness of these polynomials.

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