Matrix Integrals and the Counting of Tangles and Links
P. Zinn-Justin, J.-B. Zuber
TL;DR
This paper applies matrix model techniques to reproduce recent results on counting alternating tangles and links, connecting combinatorial topology with matrix integrals.
Contribution
It introduces a matrix integral approach to count alternating tangles and links, providing a new method for combinatorial topology problems.
Findings
Successfully reproduces recent counting results for tangles and links
Establishes a link between matrix models and topological enumeration
Offers a new computational framework for knot theory
Abstract
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.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Mathematical Theories and Applications · Algebraic and Geometric Analysis