Senior Honors Projects, 2020-current
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Date of Graduation
5-8-2020
Degree Name
Bachelor of Arts (BA)
Department
Department of Mathematics and Statistics
Second Advisor
Rebecca Field
Third Advisor
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.
Included in
Algebraic Geometry Commons, Analysis Commons, Geometry and Topology Commons, Other Mathematics Commons
