An analytical expression for the third coefficient of the Jones Polynomial

Abstract

An analytical expression for the third coefficient of the Jones Polynomial $P_J[γ,\, {\em e}^q]$ in the variable $q$ is reported. Applications of the result in Quantum Gravity are considered.

9 pages

References in corpus (3)

• Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
• How the Jones Polynomial Gives Rise to Physical States of Quantum General Relativity
• The Extended Loop Group: An Infinite Dimensional Manifold Associated with the Loop Space

Cited by in corpus (6)

• The Extended Loop Representation of Quantum Gravity
• Extended Loops: A New Arena for Nonperturbative Quantum Gravity
• The Kauffman bracket and the Jones polynomial in quantum gravity
• Extended knots and the space of states of quantum gravity
• Mimetic discretization of the Abelian Chern-Simons theory and link invariants
• Structure of Extended Loop Wave Function in Quantum Gravity and Operator Formalism