Matrix Integrals and the Counting of Tangles and Links

Paul Zinn-Justin (1) , Jean-Bernard Zuber (2)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 SPhT - Service de Physique Théorique

Using matrix model techniques for the counting of planar Feynman diagrams, recent results of Sundberg and Thistlethwaite on the counting of alternating tangles and links are reproduced.

Mots clés: Mathematical Physics; Combinatorics

Domaines: Physique mathématique [math-ph]

Paul Zinn-Justin, Jean-Bernard Zuber. Matrix Integrals and the Counting of Tangles and Links. Disc. Math., 2002, 246, pp.343. ⟨hal-00002396⟩