Fredholm theory and transversality for the parametrized and for the \(S^{1}\)-invariant symplectic action

DOI10.4171/JEMS/227zbMath1225.53076arXiv0909.2588OpenAlexW1984252455MaRDI QIDQ990222

Frédéric Bourgeois, Alexandru Oancea

Publication date: 6 September 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2588

zbMATH Keywords

Fredholm propertyFloer homologyHamiltonian action functional

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40)

Related Items (11)

Dynamical implications of convexity beyond dynamical convexity ⋮ Brieskorn manifolds, positive Sasakian geometry, and contact topology ⋮ The index of Floer moduli problems for parametrized action functionals ⋮ Künneth formula in Rabinowitz Floer homology ⋮ Closed Reeb orbits on the sphere and symplectically degenerate maxima ⋮ Positive loops and \(L^{\infty}\)-contact systolic inequalities ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Brieskorn manifolds in contact topology ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ Reeb periodic orbits after a bypass attachment

Cites Work

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• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• An exact sequence for contact- and symplectic homology
• A Floer homology for exact contact embeddings
• Homological geometry. I: Projective hypersurfaces
• Transversality in elliptic Morse theory for the symplectic action
• Functors and computations in Floer homology with applications. I
• Floer homology of families. I.
• Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
• THE GYSIN EXACT SEQUENCE FOR S¹-EQUIVARIANT SYMPLECTIC HOMOLOGY
• Rabinowitz Floer homology and symplectic homology
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• The Spectral Flow and the Maslov Index

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