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The strong AJ conjecture for cables of torus knots

Anh T. Tran

Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75080, USA

https://doi.org/10.1142/S0218216515500728Cited by:3 (Source: Crossref)

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 cable 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 cable knots over torus knots.

Keywords:

AMSC: 57M27, 57N10

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