Spectral invariants for monotone Lagrangians
From MaRDI portal
Publication:4685045
DOI10.1142/S1793525318500267zbMath1398.57037arXiv1505.07430OpenAlexW2963456523MaRDI QIDQ4685045
Publication date: 4 October 2018
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.07430
symplectic manifoldsquantum homologyspectral invariantsLagrangian Floer homologymonotone Lagrangian submanifolds
Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)
Related Items
An Arnold-type principle for non-smooth objects ⋮ Quantitative Heegaard Floer cohomology and the Calabi invariant ⋮ A note on partial quasi-morphisms and products in Lagrangian Floer homology in cotangent bundles ⋮ Noncontractible Hamiltonian loops in the kernel of Seidel's representation ⋮ On the Hofer-Zehnder conjecture ⋮ Viterbo conjecture for Zoll symmetric spaces ⋮ Convergence and Riemannian bounds on Lagrangian submanifolds ⋮ Lagrangian configurations and Hamiltonian maps ⋮ A simple construction of an action selector on aspherical symplectic manifolds ⋮ Commuting symplectomorphisms on a surface and the flux homomorphism ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ A characterization of heaviness in terms of relative symplectic cohomology ⋮ Hamiltonian no-torsion ⋮ Invariants of Lagrangian cobordisms via spectral numbers ⋮ Unnamed Item ⋮ Disjoint superheavy subsets and fragmentation norms ⋮ Mather theory and symplectic rigidity ⋮ A brief survey of the spectral numbers in floer homology ⋮ Bounds on the Lagrangian spectral metric in cotangent bundles ⋮ Bounds on spectral norms and barcodes ⋮ Existence of pseudoheavy fibers of moment maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On certain Lagrangian submanifolds of \(S^2\times S^2\) and \(\mathbb{C}\operatorname{P}^n\)
- Pseudoholomorphic quilts
- Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
- Translated points and Rabinowitz Floer homology
- On exotic monotone Lagrangian tori in \(\mathbb{CP}^2\) and \(\mathbb S^2 \times\mathbb S^2\)
- On the Hofer geometry for weakly exact Lagrangian submanifolds
- The displaced disks problem via symplectic topology
- Poisson brackets and symplectic invariants
- Lagrangian topology and enumerative geometry
- Partial quasimorphisms and quasistates on cotangent bundles, and symplectic homogenization
- The discriminant and oscillation lengths for contact and Legendrian isotopies
- Contact homology, capacity and non-squeezing in \(\mathbb R^{ 2n }\times S^{ 1 }\) via generating functions
- Notes on monotone Lagrangian twist tori
- Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms
- Morse homology
- Symplectic topology as the geometry of generating functions
- Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group
- Fukaya categories and Picard-Lefschetz theory
- Quasi-morphisms and the Poisson bracket
- Spectral invariants in Lagrangian Floer theory
- Floer homology of cotangent bundles and the loop product
- Hamiltonian dynamics on convex symplectic manifolds
- Morse theory for Lagrangian intersections
- Witten's complex and infinite dimensional Morse theory
- Symplectic topology as the geometry of action functional. II: Pants product and cohomological invariants
- Coherent orientations for periodic orbit problems in symplectic geometry
- Symplectic topology as the geometry of action functional. I: Relative Floer theory on the cotangent bundle
- Propagation in Hamiltonian dynamics and relative symplectic homology
- Invariant Finsler metrics on the space of Lagrangian embeddings
- On the action spectrum for closed symplectically aspherical manifolds
- Piunikhin-Salamon-Schwarz isomorphisms for Lagrangian intersections
- Symplectic fixed points and holomorphic spheres
- Quantum unsharpness and symplectic rigidity
- Spectral invariants in Rabinowitz-Floer homology and global Hamiltonian perturbations
- A Lagrangian camel
- New energy-capacity-type inequalities and uniqueness of continuous Hamiltonians
- Coisotropic rigidity and \(C^0\)-symplectic geometry
- Unboundedness of the Lagrangian Hofer distance in the Euclidean ball
- Symplectic geometry of quantum noise
- Calabi quasi-morphisms for some non-monotone symplectic manifolds
- Quasi-states and symplectic intersections
- Lagrangian non-intersections
- Reduction of symplectic homeomorphisms
- Geometry of Contactomorphism Groups, Contact Rigidity, and Contact Dynamics in Jet Spaces
- Function Theory on Symplectic Manifolds
- On an exotic Lagrangian torus in
- A COMPARISON OF SYMPLECTIC HOMOGENIZATION AND CALABI QUASI-STATES
- The Determinant Line Bundle for Fredholm Operators: Construction, Properties, and Classification
- Quasi-morphisms and Symplectic Quasi-states for Convex Symplectic Manifolds
- Symplectic quasi-states and semi-simplicity of quantum homology
- A relative Seidel morphism and the Albers map
- Rigid subsets of symplectic manifolds
- Lagrangian Quantum Homology
- The unregularized gradient flow of the symplectic action
- Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
- AN INTEGER-VALUED BI-INVARIANT METRIC ON THE GROUP OF CONTACTOMORPHISMS OF ℝ2n × S1
- HOFER'S METRIC ON THE SPACE OF DIAMETERS
- C 0-Limits of Hamiltonian Paths and the Oh–Schwarz Spectral Invariants
- Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory
- Symplectic cohomology and Viterbo's theorem
- A Lagrangian Piunikhin-Salamon-Schwarz Morphism and Two Comparison Homomorphisms in Floer Homology
- Symplectic topology on subcritical manifolds
