On the Donaldson polynomials of elliptic surfaces.
On the embedding of coverings into 1-dimensional bundles.
On the exponent of the cokernel of the forget-control map on K₀-groups
For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K₀-groups is composed by the NK₀-groups of the finite subgroups. Using this information, we can calculate the exponent of each element in the cokernel in terms of the torsion of the group.
On the Farrell cohomology of mapping class groups.
On the Floer homology of plumbed three-manifolds.
On the forcing relation for surface homeomorphisms
On the functoriality of stratified desingularizations.
On the genus of RP3 x S1.
On the genus of the complex projective plane.
On the geometric boundaries of hyperbolic 4-manifolds.
On the group of homotopy equivalences of simply connected five manifolds.
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