The A-polynomial from the noncommutative viewpoint
Quantum Algebra
2007-05-23 v1 Geometric Topology
Operator Algebras
Abstract
We develop an invariant of knots that depends on a complex parameter t, describing a left ideal in the noncommutative torus. When the parameter is set equal to -1 we recover the A-polynomial of the knot. We relate the invariant to the colored Jones polynomials of the knot.
Cite
@article{arxiv.math/9812048,
title = {The A-polynomial from the noncommutative viewpoint},
author = {Charles Frohman and Razvan Gelca and Walter Lofaro},
journal= {arXiv preprint arXiv:math/9812048},
year = {2007}
}
Comments
13 pages, Latex, 3 diagrams, epsfig