Completeness of derived interleaving distances and sheaf quantization of non-smooth objects

DOI10.1007/S00208-024-02815-XMaRDI QIDQ6624806

Tomohiro Asano, Yuichi Ike

Publication date: 28 October 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

symplectic geometryLagrangian submanifoldmicrolocal theory of sheavesLusternik-Schnirelmann theoryHamiltonian homeomorphism.sheaf-theoretic methods

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50) Presheaves and sheaves in general topology (54B40)

Cites Work

• Title not available (Why is that?)
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• Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems
• Persistent homology and Floer-Novikov theory
• Observations on the Hofer distance between closed subsets
• Symplectic topology as the geometry of generating functions
• Autonomous Hamiltonian flows, Hofer's geometry and persistence modules
• Hamiltonian dynamics on convex symplectic manifolds
• Microlocal branes are constructible sheaves
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Symplectic topology as the geometry of action functional. II: Pants product and cohomological invariants
• Symplectic topology as the geometry of action functional. I: Relative Floer theory on the cotangent bundle
• A \(C^0\) counterexample to the Arnold conjecture
• A lemma for microlocal sheaf theory in the \(\infty\)-categorical setting
• The action spectrum and \(C^0\) symplectic topology
• Barcodes and area-preserving homeomorphisms
• A derived isometry theorem for sheaves
• Bounds on spectral norms and barcodes
• An Arnold-type principle for non-smooth objects
• Persistence-like distance on Tamarkin's category and symplectic displacement energy
• Quantitative Tamarkin theory
• Persistent homology and microlocal sheaf theory
• Microlocal condition for non-displaceability
• The group of Hamiltonian homeomorphisms and \(C^0\)-symplectic topology
• Ephemeral persistence modules and distance comparison
• Constructible sheaves and the Fukaya category
• On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows
• NORMALIZATION OF THE HAMILTONIAN AND THE ACTION SPECTRUM
• On C0-Continuity of the Spectral Norm for Symplectically Non-Aspherical Manifolds
• Piecewise Linear Sheaves
• Microlocal Theory of Sheaves and Tamarkin’s Non Displaceability Theorem
• Categories and Sheaves
• Thickening of the diagonal and interleaving distance
• Sheaf quantization and intersection of rational Lagrangian immersions
• Sheaves and symplectic geometry of cotangent bundles

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