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Seiberg-Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2-forms.

Taubes, Clifford Henry (1999)

Geometry & Topology

Singular Lefschetz pencils.

Auroux, Denis, Donaldson, Simon K., Katzarkov, Ludmil (2005)

Geometry & Topology

Some lagrangian invariants of symplectic manifolds

Michel Nguiffo Boyom (2007)

Banach Center Publications

The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by $_{F}$ (resp. $V^{F}$ ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to $V^{F}$ . That is to say, there is a bilinear map $H^{q} (_{F}, V^{F}) \times H_{q} (_{F}, V^{F}) \to V^{F}$ , which is invariant under F-preserving symplectic diffeomorphisms....

Sur la torsion des structures de contact tendues

Vincent Colin (2001)

Annales scientifiques de l'École Normale Supérieure

Symplectic fillability of tight contact structures on torus bundles.

Ding, Fan, Geiges, Hansjörg (2001)

Algebraic & Geometric Topology

Symplectic fillings and positive scalar curvature.

Lisca, Paolo (1998)

Geometry & Topology

Symplectic topology as the geometry of generating functions.

Claude Viterbo (1992)

Mathematische Annalen

Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities

Nguyen Tien Zung (1996)

Compositio Mathematica

Symplectic torus actions with coisotropic principal orbits

Johannes Jisse Duistermaat, Alvaro Pelayo (2007)

Annales de l’institut Fourier

In this paper we completely classify symplectic actions of a torus $T$ on a compact connected symplectic manifold $(M, σ)$ when some, hence every, principal orbit is a coisotropic submanifold of $(M, σ)$ . That is, we construct an explicit model, defined in terms of certain invariants, of the manifold, the torus action and the symplectic form. The invariants are invariants of the topology of the manifold, of the torus action, or of the symplectic form.In order to deal with symplectic actions which are not Hamiltonian,...

Symplectomorphism groups and isotropic skeletons.

Coffey, Joseph (2005)

Geometry & Topology

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