Homotopy 's with several symplectic structures.
Homotopy-equivariance.
Hyperbolic 4-manifolds and conformally flat 3-manifolds
Hyperbolic 4-manifolds and tesselations
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics.
Imbeddings, immersions and integrability of characteristic classes,
Invariants in contact topology.
Invariants of branched covering from the work of Serre and Mumford.
Irregular Primes and Integrality Theorems for Manifolds.
Line Bundles over Framed Manifolds.
Manifolds with singularities accepting a metric of positive scalar curvature.
Metrics with Harmonic Spinors.
Monopôles de Seiberg-Witten et conjecture de Thom
Noeuds et structures de contact en dimension 3
Notes on Complex Structures on R2n-O.
Obstructions for Clifford Structures on Vector Bundles.
On Framed Cobordism Classes Representable on a Fixed Manifold.
On Killing Characteristic Classes by Cobordism.
On Seiberg-Witten equationsοn symplectic 4-manifolds
We discuss Taubes' idea to perturb the monopole equations on symplectic manifolds to compute the Seiberg-Witten invariants in the light of Witten's symmetry trick in the Kähler case.
On Sp(2) and Sp(2) · Sp(1) structures in 8-dimensional vector bundles.
Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to Sp(2) or Sp(2) · Sp(1) if and only if the vector bundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an Sp(2)- structure in ξ over a closed connected spin manifold of dimension 8 are also given in terms of characteristic classes.