Cobordism Span of a Manifold and Elliptic Genera.
Cobordism Theories of Unitary Manifolds with Singularities and Formal Group Laws.
Cobordism with Retractions.
Cobordisme d'enlacements de disques
Cobordisme des entrelacs
Cobordisme des variétés algébriques
Cobordisme d'immersions
Cobordisme et groupes formels
Cobordisme fibré et approximation d’une sous-variété singulière par des sous-variétés
Dans cet article, on montre comment le cobordisme d’applications et le cobordisme fibré fournissent les obstructions à des problèmes de lissage topologique de singularités avec un lieu singulier compact. On calcule dans le cas des petites dimensions les groupes de cobordisme fibré. Les résultats connus sur le cobordisme fibré ou sur son image dans le cobordisme d’application permettent le calcul d’un certain nombre de ces obstructions.
Cobordismes de plongments et produits homotopiques
Cobordismo di immersioni di codimensione uno
Cobordisms and Reidemeister torsions of homotopy lens spaces.
Cobordisms of fold maps of 2k+2-manifolds into
We calculate the group of cobordisms of k-codimensional maps into Euclidean space with no singularities more complicated than fold for a 2k+2-dimensional source manifold in both oriented and unoriented cases.
Cochain operations defining Steenrod--products in the bar construction.
Cocordance and Isotopy of Smooth Embeddings in Low Codimensions.
Cocycle invariants of codimension 2 embeddings of manifolds
We consider the classical problem of a position of n-dimensional manifold Mⁿ in . We show that we can define the fundamental (n+1)-cycle and the shadow fundamental (n+2)-cycle for a fundamental quandle of a knotting . In particular, we show that for any fixed quandle, quandle coloring, and shadow quandle coloring, of a diagram of Mⁿ embedded in we have (n+1)- and (n+2)-(co)cycle invariants (i.e. invariant under Roseman moves).
Codimension 2 fibrators that are closed under finite product.
Codimension one foliations on solvable manifolds.
Codimension one foliations without compact leaves.
Codimension one minimal foliations and the fundamental groups of leaves
Let be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold . We show that if the fundamental group of each leaf of is isomorphic to , then is without holonomy. We also show that if and the fundamental group of each leaf of is isomorphic to (), then is without holonomy.