On the Hantzsche-Wendt Manifold.
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 Homeotopy Groups of Surfaces.
On the homological category of 3-manifolds.
Let M be a closed, connected, orientable 3-manifold. Denote by n(S1 x S2) the connected sum of n copies of S1 x S2. We prove that if the homological category of M is three then for some n ≥ 1, H*(M) is isomorphic (as a ring) to H*(n(S1 x S2)).
On the homotopical classification of DJ-mappings of infnitely dimensional spheres
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 kauffman bracket skein algebra of parallelized surfaces
On the l-equivalence of metric spaces
On the linearity problem for mapping class groups.
On the Margulis constant for Kleinian groups. I.
On the number of components of the symplectic representatives of the canonical class
We show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincaré dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.
On the corresponding to bialgebras
On the Pham example and the universal topological stratification of singularities
On the Reidemeister torsion of rational homology spheres.
On the relationships between shape properties of subcompacta of and homotopy properties of their complements
On the relative Schoenflies theorem.
On the scarcity of tame disks in certain mild cells
On the self-intersection set and the image on a generic map.
On the shape of pointed compact connected subsets of