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.