Spectral numbers and manifolds with boundary

DOI10.12775/TMNA.2019.108MaRDI QIDQ2194628

Darko Milinković, Jovana Nikolić, Jelena Katić

Publication date: 4 September 2020

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07995

zbMATH Keywords

Hamiltonianspectral invariantsingular homological class

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)

Related Items (2)

A note on partial quasi-morphisms and products in Lagrangian Floer homology in cotangent bundles ⋮ A brief survey of the spectral numbers in floer homology

Cites Work

• Hamiltonian Floer homology for compact convex symplectic manifolds
• Partial quasimorphisms and quasistates on cotangent bundles, and symplectic homogenization
• Isomorphism between Morse and Lagrangian Floer cohomology rings
• Morse homology
• Symplectic topology as the geometry of generating functions
• Spectral invariants in Lagrangian Floer theory
• Hamiltonian dynamics on convex symplectic manifolds
• 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
• Action spectrum and Hofer's distance between Lagrangian submanifolds.
• On the action spectrum for closed symplectically aspherical manifolds
• On equivalence of two constructions of invariants of Lagrangian submanifolds.
• Piunikhin-Salamon-Schwarz isomorphisms for Lagrangian intersections
• Coisotropic rigidity and \(C^0\)-symplectic geometry
• Spectral invariants in Lagrangian Floer homology of open subset
• Geodesics on the space of Lagrangian submanifolds in cotangent bundles
• Function Theory on Symplectic Manifolds
• A Beginner’s Introduction to Fukaya Categories
• Constructible sheaves and the Fukaya category
• Morse homology for generating functions of Lagrangian submanifolds
• Piunikhin-Salamon-Schwarz isomorphisms and spectral invariants for conormal bundle
• A Lagrangian Piunikhin-Salamon-Schwarz Morphism and Two Comparison Homomorphisms in Floer Homology
• Floer homology of open subsets and a relative version of Arnold's conjecture
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral numbers and manifolds with boundary