Hofer's metric on the space of Lagrangian submanifolds and wrapped Floer homology

DOI10.1007/s11784-016-0287-yzbMath1353.53089OpenAlexW2316157617MaRDI QIDQ343884

Yoshihiro Sugimoto

Publication date: 29 November 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0287-y

zbMATH Keywords

Floer homologyLagrangian submanifoldsdisplacement energyHofer's pseudometric

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)

Related Items (3)

Relative Hofer-Zehnder capacity and positive symplectic homology ⋮ Displaceability of certain constant sectional curvature Lagrangian submanifolds ⋮ On the filtered symplectic homology of prequantization bundles

Cites Work

• An open string analogue of Viterbo functoriality
• On the structure of pseudo-holomorphic discs with totally real boundary conditions
• Invariant Finsler metrics on the space of Lagrangian embeddings
• Estimates for the energy of a symplectic map
• The geometry of symplectic energy
• Transversality in elliptic Morse theory for the symplectic action
• Symplectic invariants and Hamiltonian dynamics
• Lagrangian intersections and the Serre spectral sequence
• On the topological properties of symplectic maps
• On the Floer homology of cotangent bundles

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