2 citations · 3 across the 3 of their papers we have counts for
5 papers
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…
-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…
An Efficient Algorithm to Compute the Colored Jones Polynomial
Mustafa Hajij, Jesse Levitt
The colored Jones polynomial is a knot invariant that plays a central role in low dimensional topology. We give a simple and an efficient algorithm to compute the colored Jones pol…
Rigidity of quadratic Poisson tori
Jesse Levitt, Milen Yakimov
We prove a rigidity theorem for the Poisson automorphisms of the function fields of tori with quadratic Poisson structures over fields of characteristic 0. It gives an effective me…
Quantized Weyl algebras at roots of unity
Jesse Levitt, Milen Yakimov
We classify the centers of the quantized Weyl algebras that are PI and derive explicit formulas for the discriminants of these algebras over a general class of polynomial central s…