On the mean Euler characteristic of contact manifolds

DOI10.1142/S0129167X14500463zbMath1298.53091arXiv1011.4364MaRDI QIDQ2874722

Jacqueline Espina

Publication date: 8 August 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4364

zbMATH Keywords

contact structuresmean Euler characteristiccontact homology

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Symplectic field theory; contact homology (53D42)

Related Items (12)

Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Symplectic homology of some Brieskorn manifolds ⋮ Closed Reeb orbits on the sphere and symplectically degenerate maxima ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ On manifolds with infinitely many fillable contact structures ⋮ The Conley conjecture and beyond ⋮ Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\) ⋮ Perfect Reeb flows and action-index relations ⋮ Brieskorn manifolds in contact topology ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ Iterated index and the mean Euler characteristic ⋮ On the Conley conjecture for Reeb flows

Cites Work

• Unnamed Item
• An exact sequence for contact- and symplectic homology
• A general Fredholm theory. III: Fredholm functors and polyfolds
• A general Fredholm theory. II: Implicit function theorems
• Convex Hamiltonian energy surfaces and their periodic trajectories
• On the average indices of closed geodesics
• The equivariant triangulation theorem for actions of compact Lie groups
• Contact surgery and symplectic handlebodies
• Euler and Maslov cocycles
• The Maslov index for paths
• Cylindrical contact homology of subcritical Stein-fillable contact manifolds
• Functors and computations in Floer homology with applications. I
• A general Fredholm theory. I: A splicing-based differential geometry
• Contact homology of Brieskorn manifolds
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• Sur la cohomologie réelle des groupes de Lie simples réels
• An Introduction to Contact Topology

This page was built for publication: On the mean Euler characteristic of contact manifolds