Transversality for local Morse homology with symmetries and applications

DOI10.1007/s00209-019-02295-9zbMath1439.53078arXiv1702.04609OpenAlexW2964289939MaRDI QIDQ2332886

Leonardo Macarini, Doris Hein, Umberto L. Hryniewicz

Publication date: 5 November 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.04609

zbMATH Keywords

transversalityMorse homologylocal contact homology

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Equivariant homology and cohomology in algebraic topology (55N91) Symplectic aspects of Floer homology and cohomology (53D40) Symplectic field theory; contact homology (53D42)

Related Items (1)

On the iterated Hamiltonian Floer homology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Closed Reeb orbits on the sphere and symplectically degenerate maxima
• The Conley conjecture
• Morse homology
• Local Floer homology and the action gap
• Subharmonic solutions of Hamiltonian equations on tori
• A general Fredholm theory. III: Fredholm functors and polyfolds
• A general Fredholm theory. II: Implicit function theorems
• Loop products and closed geodesics
• The Maslov index for paths
• Iteration inequalities of the Maslov-type index theory with applications
• Functors and computations in Floer homology with applications. I
• Lusternik-Schnirelmann theory and closed Reeb orbits
• Symplectically degenerate maxima via generating functions
• A general Fredholm theory. I: A splicing-based differential geometry
• Geometry of manifolds of maps
• Periodic geodesics on compact Riemannian manifolds
• On differentiable functions with isolated critical points
• Conley–Zehnder index and bifurcation of fixed points of Hamiltonian maps
• Morse Theory, the Conley Index and Floer Homology
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• Characteristic Classes. (AM-76)
• On the lengths of closed geodesics on a two-sphere
• S¹-Equivariant Symplectic Homology and Linearized Contact Homology
• Local contact homology and applications
• Iterated index and the mean Euler characteristic
• Polyfolds and Fredholm Theory
• An optimal increasing estimate of the iterated Maslov-type indices

This page was built for publication: Transversality for local Morse homology with symmetries and applications