Potential functions via toric degenerations

DOI10.3792/pjaa.88.31zbMath1239.53103arXiv0812.0066OpenAlexW2963600603MaRDI QIDQ413803

Kazushi Ueda, Takeo Nishinou, Yuichi Nohara

Publication date: 7 May 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0066

zbMATH Keywords

potential functionLagrangian torus fibrationtoric degeneration

Mathematics Subject Classification ID

Fano varieties (14J45) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)

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Cites Work

• Unnamed Item
• Floer cohomology and pencils of quadrics
• Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
• Fukaya categories and Picard-Lefschetz theory
• Toric degenerations of Gelfand-Cetlin systems and potential functions
• Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• Moduli of vector bundles on a compact Riemann surface
• Lagrangian Floer theory on compact toric manifolds. I.
• Weak Landau-Ginzburg models for smooth Fano threefolds
• Toric Degeneration and Nondisplaceable Lagrangian Tori in S2×S2
• Special Lagrangian fibrations, wall-crossing, and mirror symmetry