• Corpus ID: 228063823

The extended tropical vertex group.

  title={The extended tropical vertex group.},
  author={Veronica Fantini},
  journal={arXiv: Algebraic Geometry},
In this thesis we study the relation between scattering diagrams and deformations of holomorphic pairs, building on a recent work of Chan--Conan Leung--Ma. The new feature is the extended tropical vertex group where the scattering diagrams are defined. In addition, the extended tropical vertex provides interesting applications: on one hand we get a geometric interpretation of the wall-crossing formulas for coupled $2d$-$4d$ systems, previously introduced by Gaiotto--Moore--Neitzke. On the other… 


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