On the Counting of Colored Tangles

Simple item page
dc.creatorZinn-Justin, P.
dc.creatorZuber, J. -B.
dc.date2000-02-08
dc.date2000-06-15
dc.date.accessioned2026-07-07T04:27:39Z
dc.date.available2026-07-07T04:27:39Z
dc.descriptionThe connection between matrix integrals and links is used to define matrix models which count alternating tangles in which each closed loop is weighted with a factor n, i.e. may be regarded as decorated with n possible colors. For n=2, the corresponding matrix integral is that recently solved in the study of the random lattice six-vertex model. The generating function of alternating 2-color tangles is provided in terms of elliptic functions, expanded to 16-th order (16 crossings) and its asymptotic behavior is given.
dc.description16 pages. revised: counting up to 16 crossings
dc.identifierhttps://arxiv.org/abs/math-ph/0002020
dc.identifierhttp://arxiv.org/abs/math-ph/0002020
dc.identifierJournal of Knot Theory and its Ramifications 9 (2000) 1127--1141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56495
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectCombinatorics
dc.titleOn the Counting of Colored Tangles
dc.typetext

Files

Collections

arXiv