Fock-Goncharov dual cluster varieties and Gross-Siebert mirrors

DOI10.1515/crelle-2023-0043arXiv2206.10584OpenAlexW4385068846MaRDI QIDQ6137559

Pierrick Bousseau, Hülya Argüz

Publication date: 4 September 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10584

zbMATH Keywords

mirror symmetrytheta functionlog Calabi-Yau paircluster varietyscattering diagramlog Gromov-Witten invariants

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Cluster algebras (13F60) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

• Unnamed Item
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• From real affine geometry to complex geometry
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• The canonical wall structure and intrinsic mirror symmetry
• Moduli spaces of local systems and higher Teichmüller theory
• Cluster algebras I: Foundations
• Canonical bases for cluster algebras
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• Cluster ensembles, quantization and the dilogarithm
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• Logarithmic Gromov-Witten invariants
• Theta bases and log Gromov-Witten invariants of cluster varieties
• Theta functions on varieties with effective anti-canonical class
• MIRROR SYMMETRY AND CLUSTER ALGEBRAS
• Toric degenerations of cluster varieties and cluster duality
• Scattering diagrams, theta functions, and refined tropical curve counts
• Equations of mirrors to log Calabi–Yau pairs via the heart of canonical wall structures

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