The module-model conjecture for 2-bridge knot skein modules
The module-model conjecture for 2-bridge knot skein modules
Let be a 2-bridge knot, and let be the module defined in the source by the referenced construction. Let the nonsymmetric skein module of be regarded as a module over the relevant algebra. 2-bridge module-model conjecture. The module is the specialization of the nonsymmetric skein module of the 2-bridge knot .The paper proves related conjectures for the module 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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