On the counting of colored tangles

Journal of Knot Theory and its Ramifications

Volumn 9, Issue 8, 2000, Pages 1127-1141

  Zinn Justin, Paul ^a   Zuber, Jean Bernard ^b  

^a RUTGERS UNIVERSITY   (United States)

^b CEA SACLAY   (France)

Author keywords

Alternating knots; Matrix integrals; Tangles

Indexed keywords

EID: 0038565887     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216500000669     Document Type: Article

References (12)

1. J. Hoste, M. Thistlethwaite and J. Weeks, The First 1,701,936 Knots, The Mathematical Intelligencer 20 (1998) 33-48.
2. P. Zinn-Justin and J.-B. Zuber, Matrix Integrals and the Counting of Tangles and Links, Proceedings of the 11th International Conference "Formal Power Series and Algebraic Combinatorics, FPSAC'99", Barcelona June 1999, eds C. Martinez, M. Noy and O. Serra, Universitat Politècnica de Catalunya (preprint math-ph/9904019); and to appear in Discrete Mathematics.
3. P. Zinn-Justin and J.-B. Zuber, Matrix Integrals and the Counting of Tangles and Links, Proceedings of the 11th International Conference "Formal Power Series and Algebraic Combinatorics, FPSAC'99", Barcelona June 1999, eds C. Martinez, M. Noy and O. Serra, Universitat Politècnica de Catalunya (preprint math-ph/9904019); and to appear in Discrete Mathematics.
4. C. Sundberg and M. Thistlethwaite, The rate of Growth of the Number of Prime Alternating Links and Tangles, Pac. J. Math. 182 (1998) 329-358.
5. P. Zinn-Justin, The Six-Vertex Model on Random Lattices, Europhys. Lett. 50 (2000) 15-21.
6. I. Kostov, Exact solution of the Six-Vertex Model on a Random Lattice, preprint hep-th/9911023.
7. D. Bessis, C. Itzykson and J.-B. Zuber, Quantum Field Theory Techniques in Graphical Enumeration, Adv. Appl. Math. 1 (1980) 109-157.
8. L.H. Kauffman, Knots and physics, World Scientific Pub Co (1994).
9. W.W. Menasco and M.B. Thistlethwaite, The Tait Flyping Conjecture, Bull. Amer. Math. Soc. 25 (1991) 403-412; The Classification of Alternating Links, Ann. Math. 138 (1993) 113-171.
10. W.W. Menasco and M.B. Thistlethwaite, The Tait Flyping Conjecture, Bull. Amer. Math. Soc. 25 (1991) 403-412; The Classification of Alternating Links, Ann. Math. 138 (1993) 113-171.
11. P. Zinn-Justin, Some Matrix Integrals related to Knots and Links, to appear in the proceedings of the 1999 semester of the MSRI on Random Matrices (preprint math-ph/9910010).
12. P. Di Francesco, P. Ginsparg and J. Zinn-Justin, 2D Gravity and Random Matrices, Phys. Rep. 254 (1995) 1-133.