Presentation of Honors Thesis in Knot Theory
Date: 3:30pm - 4:30pm PDT April 23, 2014 Location: JR Howard Hall 132
JR Howard Hall 132
Knot Invariants: The Jones Polynomial and its Generalizations
Cyndel Binkley ’14
Honors Thesis, Mathematics Major
The main goal of knot theory is to be able to distinguish distinct knots. We do so by using knot invariants. Knot invariants are characteristics of knots such that when two knots are equivalent, they share the same characteristic. This talk will focus on three such invariants: the Jones polynomial, the HOMFLY polynomial, and Khovanov cohomology. All three of these associate polynomials to knots in different ways.