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math.GT2019★ 1 cited
Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial
Jesse S F Levitt, Mustafa Hajij, Radmila Sazdanovic
We examine the structure and dimensionality of the Jones polynomial using manifold learning techniques. Our data set consists of more than 10 million knots up to 17 crossings and t…
math.GT2018
-Series and Quantum Spin Networks
Mohamed Elhamdadi, Mustafa Hajij, Jesse S F Levitt
The tail of a quantum spin network in the two-sphere is a -series associated to the network. We study the existence of the head and tail functions of quantum spin networks color…