We show that the consistent completion of an initial scattering diagram in M_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.
Scattering diagrams and Jeffrey-Kirwan residues / Filippini, Sara Angela; Stoppa, Jacopo. - In: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS. - ISSN 1931-4523. - 19:2(2025), pp. 319-354. [10.4310/CNTP.250531030934]
Scattering diagrams and Jeffrey-Kirwan residues
Sara Angela Filippini;Jacopo Stoppa
2025-01-01
Abstract
We show that the consistent completion of an initial scattering diagram in M_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.File in questo prodotto:
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