Polyfolds, cobordisms, and the strong Weinstein conjecture

DOI10.1016/j.aim.2016.06.030zbMath1357.53102arXiv1411.5016OpenAlexW95081991WikidataQ123251209 ScholiaQ123251209MaRDI QIDQ340444

Kai Zehmisch, Stefan Suhr

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5016

zbMATH Keywords

closed Reeb orbitscontact unifoldsWeinstein conjecture

Mathematics Subject Classification ID

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

Related Items

Diffeomorphism type of symplectic fillings of unit cotangent bundles, Feral curves and minimal sets, Finsler geodesics, periodic Reeb orbits, and open books, Periodic orbits in virtually contact structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linking and closed orbits
• Non-exact symplectic cobordisms between contact 3-manifolds
• Discontinuous symplectic capacities
• Subcritical contact surgeries and the topology of symplectic fillings
• A short history of the Weinstein conjecture
• On the Weinstein conjecture in higher dimensions
• A general Fredholm theory. III: Fredholm functors and polyfolds
• A general Fredholm theory. II: Implicit function theorems
• Pseudo holomorphic curves in symplectic manifolds
• The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\)
• Periodic solutions of Hamiltonian system on a prescribed energy surface
• The dynamics on three-dimensional strictly convex energy surfaces
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• Symplectic submanifolds and almost-complex geometry
• Finite energy foliations of tight three-spheres and Hamiltonian dynamics
• Compactness results in symplectic field theory
• Functors and computations in Floer homology with applications. I
• Weak and strong fillability of higher dimensional contact manifolds
• The Seiberg-Witten equations and the Weinstein conjecture
• A general Fredholm theory. I: A splicing-based differential geometry
• Symplectic manifolds and their Lagrangian submanifolds
• The Weinstein conjecture for planar contact structures in dimension three
• Constructing exact Lagrangian immersions with few double points
• Symplectic manifolds with contact type boundaries
• Integration theory on the zero sets of polyfold Fredholm sections
• The Weinstein Conjecture for Connected Sums
• Reeb dynamics detects odd balls
• OPEN BOOKS AND THE WEINSTEIN CONJECTURE
• ELIASHBERG'S PROOF OF CERF'S THEOREM
• Symplectic cobordisms and the strong Weinstein conjecture
• Examples of Symplectic 4-Manifolds with Disconnected Boundary of Contact Type
• Applications of Polyfold Theory I: The Polyfolds of Gromov–Witten Theory
• On the Volume Elements on a Manifold
• How to recognise a 4-ball when you see one
• Symplectic hypersurfaces in the complement of an isotropic submanifold