Algebraic tangles and Jones polynomial

Khaled Bataineh; Nabil Al Asmer

doi:10.1016/j.heliyon.2020.e03587

Algebraic tangles and Jones polynomial

Heliyon. 2020 Mar 19;6(3):e03587. doi: 10.1016/j.heliyon.2020.e03587. eCollection 2020 Mar.

Authors

Khaled Bataineh¹, Nabil Al Asmer¹

Affiliation

¹ Jordan University of Science and Technology, Irbid, Jordan.

Abstract

We develop a method for computing Kauffman bracket and Jones polynomial for algebraic tangles and their numerator closures. We also introduce the notion of connectivity type of pretzel tangles and give a way of computing it. Several examples are given.

Keywords: Jones polynomial; Kauffman bracket; Knots; Mathematics; Tangles.