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...

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Bibliographic Details
Published inarXiv.org
Main Authors Filippini, Sara Angela, Stoppa, Jacopo
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 07.12.2023
Subjects
Residues
Scattering
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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.
ISSN:2331-8422