On the geometric boundaries of hyperbolic 4-manifolds.
On the geometric topology of locally linear actions of finite groups
On the Geometric Weight System of Topological Actions on Cohomology Quaternionic Projective Spaces.
On the Godbillon-Vey invariant and global holonomy of -foliations.
On the Goeritz Matrix of a Link.
On the group of real analytic diffeomorphisms
The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the -dimensional torus, its identity component is a simple group. For fibered manifolds, for manifolds admitting special semi-free actions and for 2- or 3-dimensional manifolds with nontrivial actions, we show that the identity component of the group of real analytic diffeomorphisms is a perfect group.
On the Hawking wormhole horizon entropy.
On the Heegaard genus of contact 3-manifolds
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.
On the Homology Structure of Submersions.
On the homotopy classification of pairs of linked maps of manifolds into a linear space
On the homotopy embeddability of complexes in Euclidean space. I. The weak thickening theorem.
On the homotopy theory of equivariant automorphism groups.
On the Homotopy Type of Certain Spaces of Differentiable Maps.
On the homotopy type of and connected problems
This paper reports on some results concerning:a) The homotopy type of the group of diffeomorphisms of a differentiable compact manifold (with -topology).b) the result of the homotopy comparison of this space with the group of all homeomorphisms Homeo (with -topology). As a biproduct, one gets new facts about the homotopy groups of , and about the number of connected components of the space of topological and combinatorial pseudoisotopies.The results are contained in Section 1 and Section...
On the Horizontal Base Locus of Multiples of Tautological Sheaves of Projectived Cotangent Bundles, II.
On the induced geometric object on submanifolds of homogeneous spaces
On the Integral Manifolds of the N-Body Problem.
On the intersection forms of closed 4-manifolds.
Given a closed 4-manifold M, let M* be the simply-connected 4-manifold obtained from M by killing the fundamental group. We study the relation between the intersection forms λM and λM*. Finally some topological consequences and examples are described.
On the intersection forms of spin 4-manifolds bounded by spherical 3-manifolds.
On the Jumping conics of a semistable rank two vector bundle on P2.