Appears in collection : Wall-Crossing Structures, Analyticity, and Resurgence

Improved analytic properties of solutions to certain q-difference equations have given the ability to compute conjectural formulae for Stokes constants of associated asymptotic series. This was first explored for some invariants associated to simple knots by Garoufalidis-Gu-Mariño. I will explore examples from the perspective of quantum modular forms involving work of the previous authors and additionally work of Kashaev and Zagier.