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Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three

- H. Hofer
- Mathematics
- 1 December 1993

l. In t roduct ion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515 1.1. The Weinstein conjecture . . . . . . . . . . . . . . . . . . . . . . . . 515 1.2. The main results . . . .… Expand

Compactness results in Symplectic Field Theory

- F. Bourgeois, Y. Eliashberg, H. Hofer, K. Wysocki, E. Zehnder
- Mathematics
- 19 August 2003

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… Expand

Introduction to Symplectic Field Theory

- Y. Eliashberg, A. Givental, H. Hofer
- Mathematics
- 6 October 2000

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… Expand

Symplectic Invariants and Hamiltonian Dynamics

- H. Hofer, E. Zehnder
- Mathematics
- 9 September 1994

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… Expand

Symplectic topology and Hamiltonian dynamics

- I. Ekeland, H. Hofer
- Physics, Mathematics
- 1 September 1989

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

- H. Hofer, D. Salamon
- Mathematics
- 1995

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… Expand

On the topological properties of symplectic maps

- H. Hofer
- Mathematics
- 1990

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… Expand

Transversality in elliptic Morse theory for the symplectic action

- A. Floer, H. Hofer, D. Salamon
- Mathematics
- 1 October 1995

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… Expand

The dynamic effects of aggregate supply and demand disturbances: further evidence

- H. Hofer, Gerhard Runstler, T. Url
- Economics, Mathematics
- 1 January 2000

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… Expand

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