Senior Honors Projects, 2020-current
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
Rebecca Field
Laura Taalman
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.
Recommended Citation
Steinhauer, Hannah, "An analysis and comparison of knot polynomials" (2020). Senior Honors Projects, 2020-current. 14.
https://commons.lib.jmu.edu/honors202029/14
Included in
Algebraic Geometry Commons, Analysis Commons, Geometry and Topology Commons, Other Mathematics Commons
