Topology Seminar: Jesse Levitt (USC)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesTitle: Understanding Structure in the Single Variable Knot Polynomials Abstract: We examine the dimensionality and internal structure of the aggregated data produced by the Alexander, Jones, and Z0 polynomials using topological data analysis and dimensional reduction techniques. By examining several families of knots, including over 10 million distinct examples, we find that the Jones data is well described as a three […]