Modularity of resurgent topological string

@misc{guo2026modularity,
  title = {{Modularity of resurgent topological string}},
  author = {Gengbei Guo and Jiashen Chen and Jie Gu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.00880},
  eprint = {2607.00880},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.00880},
}

TY  - UNPB
TI  - Modularity of resurgent topological string
AU  - Gengbei Guo
AU  - Jiashen Chen
AU  - Jie Gu
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2607.00880
UR  - https://arxiv.org/abs/2607.00880
AB  - Topological string free energy has a rich collection of non-perturbative contributions which are labeled by D-brane charge vectors, and the associated Stokes constants are conjectured to coincide with BPS or DT invariants, i.e. D-brane multiplicities. In this paper, we provide additional evidence to this conjecture by studying modular properties of non-perturbative contributions. We argue using resurgence theory that non-perturbative contributions form orbits of local monodromy group induced by singular points inside a stability chamber, and that the associated Stokes constants must be the same across the orbits. In some examples, this allows generation of infinitely many Stokes constants, which reproduce the entire BPS spectrum. In addition, following [DK26], we also show that generators of Stokes transformations of non-holomorphic partition function satisfy Lie brackets of the Kontsevich-Soibelman Lie algebra, making it possible to identify the global Stokes transformation with the Kontsevich-Soibelman wall-crossing invariant.
ER  -