On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds.
Ozsváth-Szabó invariants and tight contact three-manifolds; I.
Perturbations of the metric in Seiberg-Witten equations
Let a compact connected oriented 4-manifold. We study the space of -structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on . In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all -structures . We prove that, on a complex Kähler surface, for an hermitian metric sufficiently close to the original Kähler metric, the moduli space...
Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants.
Properties of Pseudo-holomorphic Curves in Symplectisations II: Embedding Controls and Algebraic Invariants.
Properties of pseudoholomorphic curves in symplectisations. I : asymptotics
Rational surfaces and symplectic 4-manifolds with one basic class.
Rohlin's invariant and gauge theory. II: Mapping tori.
Rohlin's invariant and gauge theory III. Homology 4–tori.
Scalar curvature, covering spaces, and Seiberg-Witten theory.
Seiberg-Witten Floer stable homotopy type of three-manifolds with .
Seiberg-Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2-forms.
Seiberg-Witten invariants and surface singularities.
Seiberg-Witten invariants, the topological degree and wall crossing formula
Following S. Bauer and M. Furuta we investigate finite dimensional approximations of a monopole map in the case b 1 = 0. We define a certain topological degree which is exactly equal to the Seiberg-Witten invariant. Using homotopy invariance of the topological degree a simple proof of the wall crossing formula is derived.
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
Seifert fibered contact three-manifolds via surgery.
Strongly fillable contact 3-manifolds without Stein fillings.
Symplectic geometry and the relative Donaldson invariants of CP2.
Symplectic Lefschetz fibrations on .
The geography of simply-connected symplectic manifolds
By using the Seiberg-Witten invariant we show that the region under the Noether line in the lattice domain is covered by minimal, simply connected, symplectic 4-manifolds.