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Date of Graduation
Bachelor of Arts (BA)
Department of Mathematics and Statistics
Leonard Van Wyk
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.
Steinhauer, Hannah, "An analysis and comparison of knot polynomials" (2020). Senior Honors Projects, 2020-current. 14.