The actions of Sn+1 and Sn on the cohomology ring of a Coxeter arrangement of type An-1.
The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology
The algebraic characterization of the exteriors of certain 2-knots.
The algebraic geometry of representation spaces associated to Seifert fibered homology 3-spheres.
The algebraic theory of finiteness obstruction.
The ambient homeomorphy of certain function and sequence spaces
In this paper we consider a number of sequence and function spaces that are known to be homeomorphic to the countable product of the linear space . The spaces we are interested in have a canonical imbedding in both a topological Hilbert space and a Hilbert cube. It turns out that when we consider these spaces as subsets of a Hilbert cube then there is only one topological type. For imbeddings in the countable product of lines there are two types depending on whether the space is contained in a...
The analytic Carathéodory conjecture.
The angle defect for arbitrary polyhedra.
The A-polynomial of the pretzel knots.
The Approximation of Instantons.
The arithmetic hyperbolic 3-manifold of smallest volume
The asymptotic behavior of invariant collective motion.
The asymptotic dimension of the first Grigorchuk group is infinity.
We describe a sufficient condition for a finitely generated group to have infinite asymptotic dimension. As an application, we conclude that the first Grigorchuk group has infinite asymptotic dimension.
The automorphism groups of finite type -structures on orbifolds.
The Automorphism Groups of Strongly Pseudoconvex Domains.
The Bar Spectral Sequence converging to h*(SO(2n+1)).
The behaviour of the total twist and self-linking number of a closed space curve under inversions.
The BIC of a singular foliation defined by an abelian group of isometries
We study the cohomology properties of the singular foliation ℱ determined by an action Φ: G × M → M where the abelian Lie group G preserves a riemannian metric on the compact manifold M. More precisely, we prove that the basic intersection cohomology is finite-dimensional and satisfies the Poincaré duality. This duality includes two well known situations: ∙ Poincaré duality for basic cohomology (the action Φ is almost free). ∙ Poincaré duality for intersection cohomology (the group G is compact...
The Bing-Borsuk conjecture is stronger than the Poincaré conjecture
The Bloch invariant as a characteristic class in .