Project Title

Knot Theory and the 2-Variable Kauffman Polynomial

Presenting Author(s)

Leslie Mavrakis

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).

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May 10th, 3:30 PM May 10th, 6:30 PM

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.

Rights Statement

In Copyright