Hamiltonian Floer theory on surfaces: linking, positively transverse foliations and spectral invariants

DOI10.1007/s00222-024-01274-0MaRDI QIDQ6585700

Dustin Connery-Grigg

Publication date: 12 August 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

Floer homologyHamiltonian dynamicsfoliationsOh-Schwarz spectral invariantscapped braidsPSS mapsunlinked braids

Mathematics Subject Classification ID

Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Pseudoholomorphic curves (32Q65) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Foliations generated by dynamical systems (37C86) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)

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