The strong AJ conjecture for cables of torus knots

Anh T. Tran

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arXiv · 1404.0331

The strong AJ conjecture for cables of torus knots

Anh T. Tran

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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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BibTeX RIS

Anh T. Tran. 2014-04-01. The strong AJ conjecture for cables of torus knots. https://arxiv.org/abs/1404.0331

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