Iterated index and the mean Euler characteristic

DOI10.1142/S179352531550017XzbMath1325.53113arXiv1311.0547OpenAlexW2963904438MaRDI QIDQ5262372

Yusuf Gören, Viktor L. Ginzburg

Publication date: 13 July 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0547

zbMATH Keywords

periodic orbitsmean Euler characteristiccontact and Floer homologycontact forms and Reeb flowsindex and Lefschetz number

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Symplectic field theory; contact homology (53D42)

Related Items (14)

Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ The McKay correspondence for isolated singularities via Floer theory ⋮ Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ The Conley conjecture and beyond ⋮ On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Multiplicity of periodic orbits for dynamically convex contact forms ⋮ Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\) ⋮ Perfect Reeb flows and action-index relations ⋮ Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces ⋮ Transversality for local Morse homology with symmetries and applications

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