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math.GT2021
The -Skein Module of Lens Spaces via the Torus and Solid Torus
Hoang-An Nguyen
We compute the action of the -skein algebra of the torus on the -skein module of the solid torus. As a result, we show that the -…
math.GT2020
The strong AJ conjecture for the figure eight knot
Hoang-An Nguyen, Anh T. Tran
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, Si…