Capacities of billiard tables and \(S^1\)-equivariant loop space homology

DOI10.1007/s11784-022-00952-xOpenAlexW4282582711MaRDI QIDQ2155487

Kei Irie

Publication date: 15 July 2022

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

Full work available at URL: https://doi.org/10.1007/s11784-022-00952-x

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• Unnamed Item
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• Infinite dimensional Morse theory and multiple solution problems
• Index theory for symplectic paths with applications
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• On the rigidity of Lagrangian products
• Periodic billiard trajectories and Morse theory on loop spaces
• Symplectic embeddings and the Lagrangian bidisk
• Metric and isoperimetric problems in symplectic geometry
• On the filtered symplectic homology of prequantization bundles

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