The module-model conjecture for 2-bridge knot skein modules

Let KK be a 2-bridge knot, and let MM be the module defined in the source by the referenced construction. Let the nonsymmetric skein module of KK be regarded as a module over the relevant algebra. 2-bridge module-model conjecture. The module MM is the q=1q=-1 specialization of the nonsymmetric skein module of the 2-bridge knot KK.The paper proves related conjectures for the module MM in the stated examples, but presents this identification itself as conjectural; its general validity remains open.

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Primary source

Yuri Berest and Peter Samuelson, “Double affine Hecke algebras and generalized Jones polynomials”, arXiv:1402.6032 (2014).

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