Quandles at Finite Temperatures I
Quantum Algebra
2007-05-23 v2 Geometric Topology
Abstract
In CJKLS quandle cohomology is used to produce invariants for particular embeddings of codimension two; 2-cocycles give to invariants for (classical) knots and 3-cocycles give rise to invariants for knotted surfaces. This is done by way of a notion of coloring of a diagram. Also, these invariants have the form of state-sums (or partition functions) used in Statistical Mechanics. By a careful analysis of these colorings of diagrams we are able to come up with new invariants which correspond to calculation of the partition function at finite temperatures.
Keywords
Cite
@article{arxiv.math/0105099,
title = {Quandles at Finite Temperatures I},
author = {Pedro Lopes},
journal= {arXiv preprint arXiv:math/0105099},
year = {2007}
}
Comments
24 pages, 4 figures, Latex