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Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
l. In t roduct ion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515 1.1. The Weinstein conjecture . . . . . . . . . . . . . . . . . . . . . . . . 515 1.2. The main results . . . .
Compactness results in Symplectic Field Theory
This is one in a series of papers devoted to the foundations of Symplectic Field Theory sketched in (4). We prove compactness results for moduli spaces of holomorphic curves arising in Symplectic
Introduction to Symplectic Field Theory
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds
Symplectic Invariants and Hamiltonian Dynamics
The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: sympletic topology. Surprising rigidity phenomena
Symplectic topology and Hamiltonian dynamics
On etudie des applications symplectiques non lineaires. Capacites symplectiques. Construction d'une capacite symplectique. Problemes de plongement. Problemes de rigidite
Floer homology and Novikov rings
We prove the Arnold conjecture for compact symplectic manifolds under the assumption that either the first Chern class of the tangent bundle vanishes over π2(M) or the minimal Chern number is at
On the topological properties of symplectic maps
In this paper we show that symplectic maps have surprising topological properties. In particular, we construct an interesting metric for the symplectic diffeomorphism groups, which is related, but
Transversality in elliptic Morse theory for the symplectic action
Our goal in this paper is to settle some transversality question for the perturbed nonlinear Cauchy-Riemann equations on the cylinder. These results play a central role in the denition of symplectic
The dynamic effects of aggregate supply and demand disturbances: further evidence
For the decomposition of GDP into its trend and cyclical components, Blanchard and Quah (1989) proposed to extract the cycle by imposing a long-run restriction on the moving average polynomial of a