Project Title
Knot Theory and the 2-Variable Kauffman Polynomial
Document Type
Event
Start Date
10-5-2019 3:30 PM
End Date
10-5-2019 6:30 PM
Description
In knot theory, we often ask if two knots or links are different. That is, if I have two tangled up strings can I determine they are different knots? Here, invariants are properties of knots which remain unchanged regardless of what diagram of a knot is used. In this presentation, we explore a specific polynomial invariant: the 2-Variable Kauffman Polynomial and the impact on the polynomial when changes in orientation are made.
Discipline
Math
Research Mentor(s)
Dr. John Hossler
Copyright Status
http://rightsstatements.org/vocab/InC/1.0/
Additional Rights Information
Copyright held by author(s).
Knot Theory and the 2-Variable Kauffman Polynomial
In knot theory, we often ask if two knots or links are different. That is, if I have two tangled up strings can I determine they are different knots? Here, invariants are properties of knots which remain unchanged regardless of what diagram of a knot is used. In this presentation, we explore a specific polynomial invariant: the 2-Variable Kauffman Polynomial and the impact on the polynomial when changes in orientation are made.