An analytical expression for the third coefficient of the Jones polynomial

1993/11/01 by Cayetano Di Bartolo, C. Di Bartolo, Jorge Griego +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Applied mathematics #Black Holes and Theoretical Physics #Calculus (dental) #Combinatorics #Computer science #Expression (computer science) #Jones polynomial #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Polynomial #Thermodynamics #Variable (mathematics) #Variable coefficient #gr-qc

paper · pdf · doi:10.1016/0370-2693(93)91369-x

published as Phys.Lett. B317 (1993) 540-544 · 9 pages

openalex publication_date 1993/11/01 · arxiv created 1994/06/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Knot Theory and Quantum Gravity
• Quantum field theory and the Jones polynomial
• Loop space representation of quantum general relativity
• New Variables for Classical and Quantum Gravity
• New Hamiltonian formulation of general relativity

Cited by

• Extended loop representation of quantum gravity
• Extended knots and the space of states of quantum gravity