Scattering diagrams and Jeffrey-Kirwan residues
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910860261195776 |
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| author | Filippini, Sara Angela Stoppa, Jacopo |
| author_facet | Filippini, Sara Angela Stoppa, Jacopo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03500 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scattering diagrams and Jeffrey-Kirwan residues Filippini, Sara Angela Stoppa, Jacopo Algebraic Geometry 14J33 (Primary) 32A27 (Secondary) 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. |
| title | Scattering diagrams and Jeffrey-Kirwan residues |
| topic | Algebraic Geometry 14J33 (Primary) 32A27 (Secondary) |
| url | https://arxiv.org/abs/2312.03500 |