Description
After having summarized the relevant resurgence and BPS counting notions, I will discuss the Borel plane of the topological string free energy on all hypergeometric
one-parameter Calabi-Yau models, close to singular points in moduli space.
I will focus on the location of Borel singularities and the value of the associated Stokes constants. We found in particular that in
models which exhibit massless D-branes at a singular point, the central charge of the D-brane close
to the singular point coincides with the location of the leading Borel singularity, and the generalized
Donaldson-Thomas invariant associated to the charge of the D-brane, in as far as its value is known,
coincides with the Stokes constant associated to the Borel singularity.