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Volume Conjecture and WKB Asymptotics A. I. Aptekarev Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow |
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Аннотация: We consider q-difference equations for colored Jones polynomials. These polynomials are invariants for the knots and their asymptotics plays an important role in the famous Volume Conjecture (VC) for the complement of the knot to the 3-d sphere. We study WKB asymptotic behavior of the This is a joint work with Dmitrii Toulyakov and Tatyana Dudnikova. The work was done in Moscow Center of Fundamental and Applied Mathematics (agreement with Ministry of Science and Higher Education RF № 075-15-2022-283). |