The t-deformed ADO polynomial limit conjecture for F_K
The t-deformed ADO polynomial limit conjecture for F_K
Let be a knot, let be the -deformed invariant, let be the -deformed Alexander polynomial, and let be a positive integer with . Define
The t-deformed ADO limit conjecture. The preceding expression should be a polynomial and, at , should equal the usual -th ADO polynomial of for . More generally, for positive integer , define
This expression should be a polynomial and a -deformation of the symmetric version of the -th ADO polynomial for . The conjecture extends the roots-of-unity relationship between invariants and ADO polynomials, replacing the Alexander factor by its -deformed analogue. The supplied source gives no resolution status.
Sources & referencesView supporting material
Primary source
Tobias Ekholm, Angus Gruen, Sergei Gukov, Piotr Kucharski, Sunghyuk Park and Piotr Sułkowski, “Z at large N: from curve counts to quantum modularity”, arXiv:2005.13349 (2020).
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