Matrix Characterization of Knots: A Simple Statistical Mechanics Application
Statistical Mechanics
2013-07-04 v1 Mathematical Physics
math.MP
Abstract
In this note, I describe a formalism for treating knots as geometric spaces, and make an application to a simple statistical mechanics computation. The motivation for this study is the natural visual symmetry of the knot, and I describe how this might be carried out. The direct approach, however, fails due to limits of the visual symmetry, but by recasting the problem in terms of the geometry of contours of the knot, the resulting permutation operators provide a better analytical tool.
Keywords
Cite
@article{arxiv.1307.0871,
title = {Matrix Characterization of Knots: A Simple Statistical Mechanics Application},
author = {Robert Kariotis},
journal= {arXiv preprint arXiv:1307.0871},
year = {2013}
}