We prove an equality, predicted in the physical literature, between the Jeffrey–Kirwan residues of certain explicit meromorphic forms attached to a quiver without loops or oriented cycles and its Donaldson–Thomas type invariants. In the special case of complete bipartite quivers we also show independently, using scattering diagrams and theta functions, that the same Jeffrey–Kirwan residues are determined by the the Gross–Hacking–Keel mirror family to a log Calabi–Yau surface.

Log Calabi–Yau surfaces and Jeffrey-Kirwan residues / Ontani, Riccardo; Stoppa, Jacopo. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - (In corso di stampa), pp. 1-46. [10.1017/S0305004124000033]

Log Calabi–Yau surfaces and Jeffrey-Kirwan residues

Riccardo Ontani;Jacopo Stoppa
In corso di stampa

Abstract

We prove an equality, predicted in the physical literature, between the Jeffrey–Kirwan residues of certain explicit meromorphic forms attached to a quiver without loops or oriented cycles and its Donaldson–Thomas type invariants. In the special case of complete bipartite quivers we also show independently, using scattering diagrams and theta functions, that the same Jeffrey–Kirwan residues are determined by the the Gross–Hacking–Keel mirror family to a log Calabi–Yau surface.
In corso di stampa
1
46
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/abs/log-calabiyau-surfaces-and-jeffreykirwan-residues/AAC43AAD8ECED57C2A486CB53F59D432
https://arxiv.org/abs/2109.13048#
Ontani, Riccardo; Stoppa, Jacopo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/136951
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