Completeness of derived interleaving distances and sheaf quantization of non-smooth objects
DOI10.1007/S00208-024-02815-XMaRDI QIDQ6624806
Publication date: 28 October 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
symplectic geometryLagrangian submanifoldmicrolocal theory of sheavesLusternik-Schnirelmann theoryHamiltonian homeomorphism.sheaf-theoretic methods
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?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- 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
This page was built for publication: Completeness of derived interleaving distances and sheaf quantization of non-smooth objects
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624806)
