Sheaf quantization and intersection of rational Lagrangian immersions

DOI10.5802/aif.3554zbMath1523.53089arXiv2005.05088OpenAlexW4310136317MaRDI QIDQ6114289

Yuichi Ike, Tomohiro Asano

Publication date: 11 July 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05088

zbMATH Keywords

microlocal sheaf theorydisplacement energyLagrangian immersionssheaf quantization

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Geometric quantization (53D50)

Related Items (1)

Persistence and the Sheaf-Function Correspondence

Cites Work

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• Displacement of polydisks and Lagrangian Floer theory
• Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems
• Nonsqueezing property of contact balls
• Immersed Lagrangian Floer theory
• Microlocal branes are constructible sheaves
• Cup-length estimate for Lagrangian intersections
• Lagrangian intersections, symplectic energy, and areas of holomorphic curves
• Persistence-like distance on Tamarkin's category and symplectic displacement energy
• Augmentations are sheaves
• Compact exact Lagrangian intersections in cotangent bundles via sheaf quantization
• Quantitative Tamarkin theory
• Microlocal condition for non-displaceability
• On triangulated orbit categories
• Cuplength estimates in Morse cohomology
• Constructible sheaves and the Fukaya category
• Microlocal Theory of Sheaves and Tamarkin’s Non Displaceability Theorem

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