Title: Differences of Jones polynomials for links caused by a local move
Speaker: Puttipong Pongtanapaisan, University of Iowa
Abstract: A local move on a link diagram is the substitution of a given subdiagram for another. Local moves generate many important equivalence relations in knot theory. For instance, Murakami and Nakanishi showed that two links are equivalent by a sequence of delta moves if and only if they have the same pairwise linking numbers. In this talk, I will discuss joint work with Paul Drube, where we analyze the effect of various local moves of rotation type by showing that the difference of the Jones polynomials of two links related by such moves satisfies a particular divisibility condition.
Seminar URL: https://www.coreyjonesmath.com/qaqt-seminar-osu
