Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/71623
Title: The strong AJ conjecture for the figure 8 knot
Authors: Nguyen, Hoang-An
Tran, Anh T
Keywords: Colored Jones polynomial
A-Polynomial
AJ conjecture
Figure 8 knot
Issue Date: 2021
Series/Report no.: Acta Mathematica Vietnamica;Vol. 46, No. 02 .- P.357-368
Abstract: Motivated by the theory of quantum A-ideals of Frohman-Gelca-LoFaro, the theory of q-holonomicily of quantum invariants of Garoufalidis-Le, and the AJ con jecture of Garoufa- lidis. 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 8 knot.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/71623
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

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