Resurgence of Faddeev’s quantum dilogarithm
Resurgence of Faddeev’s quantum dilogarithm
The quantum dilogarithm function of Faddeev is a special function that plays a key role as the building block of quantum invariants of knots and 3-manifolds, of quantum Teichmüller theory and of complex Chern–Simons theory. Motivated by conjectures on resurgence and the recent interest in wall-crossing phenomena, we prove that …