Scattering diagrams and Jeffrey-Kirwan residues

We show that the consistent completion of an initial scattering diagram in $M_{\mathbb{R}}$ (for a finite rank lattice $M$) can be expressed quite generally in terms of the Jeffrey-Kirwan residues of certain explicit meromorphic forms, by using the Maurer-Cartan asymptotic analysis developed by Chan...

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Bibliographic Details
Main Authors Filippini, Sara Angela, Stoppa, Jacopo
Format Journal Article
LanguageEnglish
Published 06.12.2023
Subjects
Mathematics - Algebraic Geometry
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Summary:We show that the consistent completion of an initial scattering diagram in $M_{\mathbb{R}}$ (for a finite rank lattice $M$) can be expressed quite generally in terms of the Jeffrey-Kirwan residues of certain explicit meromorphic forms, by using the Maurer-Cartan asymptotic analysis developed by Chan-Leung-Ma and Leung-Ma-Young. A similar result holds for the associated theta functions.
DOI:10.48550/arxiv.2312.03500