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arXiv · 1912.09956

Deformations of holomorphic pairs and 2d-4d wall-crossing

Veronica Fantini
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Abstract

We show how wall-crossing formulas in coupled 2d-4d systems, introduced by Gaiotto, Moore and Neitzke, can be interpreted geometrically in terms of the deformation theory of holomorphic pairs, given by a complex manifold together with a holomorphic vector bundle. The main part of the paper studies the relation between scattering diagrams and deformations of holomorphic pairs, building on recent work by Chan, Conan Leung and Ma.

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Veronica Fantini. 2019-12-20. Deformations of holomorphic pairs and 2d-4d wall-crossing. https://doi.org/10.4310/atmp.2022.v26.n6.a4

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