A DECOMPOSITION OF SMOOTH SIMPLY-CONNECTED h-COBORDANT 4-MANIFOLDS

Multiple point of self-transverse immesions of certain manifolds

In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{1...

On cohomogeneity one nonsimply connected 7-manifolds of constant positive curvature

In this paper, we give a classification of non simply connected seven dimensional Reimannian manifolds of constant positive curvature which admit irreducible cohomogeneity-one actions. We characterize the acting groups and describe the orbits. The first and second homo-topy groups of the orbits have been presented as well.

Equivariant Surgery with Middle Dimensional Singular Sets. Ii: Equivariant Framed Cobordism Invariance

Let G be a finite group and let f : X → Y be a degree 1, G-framed map such that X and Y are simply connected, closed, oriented, smooth manifolds of dimension n = 2k = 6 and such that the dimension of the singular set of the G-space X is at most k. In the previous article, assuming f is kconnected, we defined the G-equivariant surgery obstruction σ(f) in a certain abelian group. There it was sho...

Akbulut’s corks and h-cobordisms of smooth, simply connected 4-manifolds

O ct 2 00 0 A CONVEX DECOMPOSITION THEOREM FOR FOUR - MANIFOLDS

In this article we show that every smooth closed oriented fourmanifold admits a decomposition into two submanifolds along common boundary. Each of these submanifolds is a complex manifold with pseudo-convex boundary. This imply, in particular, that every smooth closed simply-connected four-manifold is a Stein domain in the the complement of a certain contractible 2-complex.