The Jones Polynomial and Kauffman Bracket Polynomial
摘要
In May of 1984, Vaughan Jones defined his link polynomial, and later in the summer of 1985, Louis H. Kauffman described his bracket polynomial. In this lecture, we describe basic properties of these polynomials including mysterious relations with Fox 3 −coloring. We also discuss Montesinos-Nakanishi 3 −move conjecture and its solution using the Burnside group of link. We end by discussing the Nakanishi 4-move conjecture, from 1979.