GAUSS Seminar

Speaker: 
Rebecca Sorsen
Topic: 
The Jones Polynomial of the Generalized Half-Twist

Abstract:
The Jones Polynomial is a specific knot invariant that can yield extremely useful information; however, the Jones Polynomial is computationally complex. While computers can calculate the Jones Polynomial up to a certain complexity, we are interested in much larger, complex examples. Specifically, we focused on a special class of knots with many twisted, parallel strands, called the generalized half twist. We will discuss the properties of the Kauffman bracket expansion of the generalized half twist and apply our findings to the Jones Polynomial.

Event Date: 
October 23, 2019 - 3:30pm to 4:20pm
Location: 
218 MLH
Calendar Category: 
Seminar
Seminar Category: 
GAUSS