The strong AJ conjecture for the figure eight knot

Hoang-An Nguyen; Anh T. Tran

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arXiv · 2006.02042

The strong AJ conjecture for the figure eight knot

Hoang-An Nguyen·Anh T. Tran

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Abstract

Motivated by the theory of quantum A-ideals of Frohman-Gelca-LoFaro, the theory of q-holonomicity of quantum invariants of Garoufalidis-Le and the AJ conjecture of Garoufalidis, Sikora formulated the strong AJ conjecture which relates the A-ideal and recurrence ideal of a knot in the 3-sphere. This conjecture has been verified for all torus knots and most of their cables. In this paper, we verify the strong AJ conjecture for the figure eight knot.

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BibTeX RIS

Hoang-An Nguyen, Anh T. Tran. 2020-06-03. The strong AJ conjecture for the figure eight knot. https://arxiv.org/abs/2006.02042

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