2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
A resolution theorem for homology cycles of real algebraic varieties.
Amorces de la chirurgie en dimension quatre : un exotique
Cancellation of hyperbolic forms and topological four-manifolds.
Compactness Results for Orbifold Instantons.
Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism
Curiosités Lagrangiennes en dimension 4
Dans ce texte, on définit, pour les immersions lagrangiennes de variétés fermées dans , une notion d’aire symplectique enlacée. Puis on construit, dans le cas , un certain nombre de surfaces lagrangiennes enlaçant une aire infinie. Dans le cas des surfaces exactes, elles ont le minimum de points doubles possible permis par la théorie (sauf la sphère), c’est-à-dire moins que prévu par quelques conjectures.
Cycle exceptionnel de l'éclatement de Nash d'une hypersurface analytique complexe à singularité isolée
Holomorphic disks and genus bounds.
Immersed Spheres in ....2 and S2 x S2.
L'instanton gordien
On Embedded 2-Spheres in 3-Manifolds.
On homology of real algebraic sets.
On Manifolds Representing Homology Classes in Codimension 2.
On Representing Homology Classes of 4-Manifolds.
On resolving singularities and relating bordism to homology
On self-dual pseudo-connections on some orbifolds.
On signatures associated with ramified coverings and embedding problems
Given a cohomology class there is a smooth submanifold Poincaré dual to . A special class of such embeddings is characterized by topological properties which hold for nonsingular algebraic hypersurfaces in . This note summarizes some results on the question: how does the divisibility of restrict the dual submanifolds in this class ? A formula for signatures associated with a -fold ramified cover of branched along is given and a proof is included in case .
On slice knots in the complex projective plane.
We investigate the knots in the boundary of the punctured complex projective plane. Our result gives an affirmative answer to a question raised by Suzuki. As an application, we answer to a question by Mathieu.
Realization of simply-connected 4-manifolds with a given boundary.