Mock Modularity, Resurgence, and Dual False Theta Functions

Mrunmay Jagadale

The $\hat{Z}$ invariant of a three-manifold $M_3$, a half-index of the $3d$ $\mathcal{N}=2$ theory $T[M_3]$, is well understood for negative-definite plumbed three-manifolds. F…