On diffeomorphisms over surfaces trivially embedded in the 4-sphere.
On Dihedral Covering Spaces of Knots.
On equivariant finiteness
On homotopy types of 2-dimensional polyhedra
On Invariants of Hirzebruch and Cheeger-Gromov.
On Knot Modules.
On link maps and their homotopy classification.
On links with one codimension two compontent.
On manifolds with finitely generated homotopy groups.
On monotone unions of closed n-cells
On Polytopes Cut by Flats.
On pseudo-isotopy classes of homeomorphisms of a dimensional differentiable manifold.
We study self-homotopy equivalences and diffeomorphisms of the (n+1)-dimensional manifold X= #p(S1 x Sn) for any n ≥ 3. Then we completely determine the group of pseudo-isotopy classes of homeomorphisms of X and extend to dimension n well-known theorems due to F. Laudenbach and V. Poenaru (1972,1973), and J. M. Montesinos (1979).
On Quadratic Forms in 3-Manifolds.
On Representing Homology Classes of 4-Manifolds.
On simple fibered knots in S5 and the existence of decomposable algebraic 3-knots.
On singular cut-and-pastes in the 3-space with applications to link theory.
In the study of surfaces in 3-manifolds, the so-called ?cut-and-paste? of surfaces is frequently used. In this paper, we generalize this method, in a sense, to singular-surfaces, and as an application, we prove that two collections of singular-disks in the 3-space R3 which span the same trivial link are link-homotopic in the upper-half 4-space R3 [0,8) keeping the link fixed. Throughout the paper, we work in the piecewise linear category, consisting of simplicial complexes and piecewise linear maps....
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.
On spaces which have the shape of C. W. complexes
On surface braids of index four with at most two crossings
Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.
On the Betti numbers of the real part of a three-dimensional torus embedding
Let X be the three-dimensional, complete, nonsingular, complex torus embedding corresponding to a fan and let V be the real part of X (for definitions see [1] or [3]). The aim of this note is to give a simple combinatorial formula for calculating the Betti numbers of V.