The Resurgent Structure of Quantum Knot Invariants
@article{Garoufalidis2021TheRS, title={The Resurgent Structure of Quantum Knot Invariants}, author={Stavros Garoufalidis and Jie Gu and Marcos Mari{\~n}o}, journal={Communications in Mathematical Physics}, year={2021}, volume={386}, pages={469  493} }
The asymptotic expansion of quantum knot invariants in complex Chern–Simons theory gives rise to factorially divergent formal power series. We conjecture that these series are resurgent functions whose Stokes automorphism is given by a pair of matrices of qseries with integer coefficients, which are determined explicitly by the fundamental solutions of a pair of linear qdifference equations. We further conjecture that for a hyperbolic knot, a distinguished entry of those matrices equals to… Expand
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