Quantizing Knots and Beyond
Quantum Physics
2011-05-04 v2 Geometric Topology
Abstract
This paper formulates a generalization of our work on quantum knots to explain how to make quantum versions of algebraic, combinatorial and topological structures. We include a description of previous work on the construction of Hilbert spaces from the states of the bracket polynomial with applications to algorithms for the Jones polynomial and relations with Khovanov homology. The purpose of this paper is to place such constructions in a general context of the quantization of mathematical structures.
Cite
@article{arxiv.1105.0152,
title = {Quantizing Knots and Beyond},
author = {Louis H. Kauffman and Samuel J. Lomonaco},
journal= {arXiv preprint arXiv:1105.0152},
year = {2011}
}
Comments
16 pages, 5 figures, LaTeX document