Corpus ID: 219687103

On the wall-crossing formula for quadratic differentials

@article{Allegretti2020OnTW,
  title={On the wall-crossing formula for quadratic differentials},
  author={Dylan G. Allegretti},
  journal={arXiv: Geometric Topology},
  year={2020}
}
We prove an analytic version of the Kontsevich-Soibelman wall-crossing formula describing how the number of finite-length trajectories of a quadratic differential jumps as the differential is varied. We characterize certain maps appearing in this wall-crossing formula using Fock-Goncharov coordinates. As an application, we compute the Stokes automorphisms for Voros symbols in exact WKB analysis. 
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