| ABSTRACT |
The resurgence theory is a powerful technique to analyse asymptotic series that arise in physics. We use the resurgence theory to study the Chern-Simons theory with gauge group $\mf{sl}_2$ on knot complement. We compute the Stokes automorphisms that relate the asymptotic series in the theory, including the one from the trivial flat connection. We find surprising connection with BPS counting in 3d SCFT. We also construct a new state integral from which all asymptotic series, including the one for trivial connection, can be derived. |
