Computations of the Ozsvath-Szabo knot concordance invariant.
Computing linking numbers of a filtration.
Conformally Flat Submanifolds of Euclidean Space.
Constructing manifolds by homotopy equivalences I. An obstruction to constructing PL-manifolds from homology manifolds
We aim at constructing a PL-manifold which is cellularly equivalent to a given homology manifold . The main theorem says that there is a unique obstruction element in , where is the group of 3-dimensional PL-homology spheres modulo those which are the boundary of an acyclic PL-manifold. If the obstruction is zero and is compact, we obtain a PL-manifold which is simple homotopy equivalent to .
Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds.
Contributions à la théorie du type simple d'homotopie.
Convexité topologique et prolongement des fonctions continues
Correction to: SK1 for Finite Group Rings: I.
Corrigendum to: "Aspherical four-manifolds and the centres of two-knot groups".
Crosscaps and knots.
Crystallizations of generalized Neuwirth manifolds.
Cubical approximation and computation of homology
The purpose of this article is to introduce a method for computing the homology groups of cellular complexes composed of cubes. We will pay attention to issues of storage and efficiency in performing computations on large complexes which will be required in applications to the computation of the Conley index. The algorithm used in the homology computations is based on a local reduction procedure, and we give a subquadratic estimate of its computational complexity. This estimate is rigorous in two...
Cubulations, immersions, mappability and a problem of Habegger
Cyclic Crystallizations of Spheres.
Cyclic group actions on odd-dimensional spheres.
Decomposing four-manifolds up to homotopy type.
Decomposition of modules, forms and simple knots.
Deformation of Maps to Branched Coverings in Dimension Three.
Deloopings of the spaces of long embeddings
The homotopy fiber of the inclusion from the long embedding space to the long immersion space is known to be an iterated based loop space (if the codimension is greater than two). In this paper we deloop the homotopy fiber to obtain the topological Stiefel manifold, combining results of Lashof and of Lees. We also give a delooping of the long embedding space, which can be regarded as a version of Morlet-Burghelea-Lashof's delooping of the diffeomorphism group of the disk relative to the boundary....
Describing toric varieties and their equivariant cohomology
Topologically, compact toric varieties can be constructed as identification spaces: they are quotients of the product of a compact torus and the order complex of the fan. We give a detailed proof of this fact, extend it to the non-compact case and draw several, mostly cohomological conclusions. In particular, we show that the equivariant integral cohomology of a toric variety can be described in terms of piecewise polynomials on the fan if the ordinary integral cohomology is concentrated in even...