The strong AJ conjecture for cables of torus knots
Geometric Topology
2014-04-02 v1 Quantum Algebra
Abstract
The AJ conjecture, formulated by Garoufalidis, relates the A-polynomial and the colored Jones polynomial of a knot in the 3-sphere. It has been confirmed for all torus knots, some classes of two-bridge knots and pretzel knots, and most cabled knots over torus knots. The strong AJ conjecture, formulated by Sikora, relates the A-ideal and the colored Jones polynomial of a knot. It was confirmed for all torus knots. In this paper we confirm the strong AJ conjecture for most cabled knots over torus knots.
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Cite
@article{arxiv.1404.0331,
title = {The strong AJ conjecture for cables of torus knots},
author = {Anh T. Tran},
journal= {arXiv preprint arXiv:1404.0331},
year = {2014}
}
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9 pages