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arXiv · 2312.13990

Scattering diagrams: polynomiality and the dense region

Tim Gräfnitz·Patrick Luo
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Abstract

We use deformations and mutations of scattering diagrams to show that the coefficients of a scattering diagram with initial functions $f1 = (1+tx)^{\mu}$ and $f2 = (1+ty)^{\nu}$ are polynomial in ${\mu}$, ${\nu}$ and non-trivial in a certain dense region. We discuss consequences for Gromov-Witten invariants and quiver representations.

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Tim Gräfnitz, Patrick Luo. 2023-12-21. Scattering diagrams: polynomiality and the dense region. https://arxiv.org/abs/2312.13990

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