The strong AJ conjecture for the figure eight knot
Geometric Topology
2020-06-04 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2006.02042,
title = {The strong AJ conjecture for the figure eight knot},
author = {Hoang-An Nguyen and Anh T. Tran},
journal= {arXiv preprint arXiv:2006.02042},
year = {2020}
}
Comments
11 pages