5 papers
Quantum modularity in refined topological recursion
Veronica Fantini, Kento Osuga
In this paper we study the Borel summability and quantum modularity of the free energy computed by refined topological recursion on the Weber-type refined spectral curve. On the on…
Modular resurgent structures for vectors
Miranda C. N. Cheng, Ioana Coman, Veronica Fantini +1
Building on prior results [1], we introduce vector-valued modular resurgent series, whose components exhibit a single infinite tower of singularities in the Borel plane, trivial se…
Modular resurgence, -Pochhammer symbols, and quantum operators from mirror curves
Veronica Fantini, Claudia Rella
Building on the results of [1,2], we study the resurgence of -Pochhammer symbols and determine their summability and quantum modularity properties. We construct a new, infinite…
Modular resurgent structures
Veronica Fantini, Claudia Rella
The theory of resurgence uniquely associates a factorially divergent formal power series with a collection of exponentially small non-perturbative corrections paired with a set of…
Strong-weak symmetry and quantum modularity of resurgent topological strings on local
Veronica Fantini, Claudia Rella
Quantizing the mirror curve to a toric Calabi-Yau threefold gives rise to quantum operators whose fermionic spectral traces produce factorially divergent formal power series in the…