4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.
A characterization of differentiable submanifolds of Euclidean spaces
A functional relation in stable knot theory.
A new invariant and parametric connected sum of embeddings
We define an isotopy invariant of embeddings of manifolds into Euclidean space. This invariant together with the α-invariant of Haefliger-Wu is complete in the dimension range where the α-invariant could be incomplete. We also define parametric connected sum of certain embeddings (analogous to surgery). This allows us to obtain new completeness results for the α-invariant and the following estimation of isotopy classes of embeddings. In the piecewise-linear category, for a (3n-2m+2)-connected...
A new obstruction to embedding Lagrangian tori.
A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)? An old result of Olech states that this is equivalent to the question if such an f is injective. Here the problem is treated in the latter form by means of an investigation of the behaviour of f near infinity.
Algebraic models of Poincaré embeddings.
Algebraic tubular neighbourhoods II.
All knots are algebraic.
Applications of unstable normal invariants. Part I
Bordism and Geometric Dimension.
Characteristic Classes of n-Manifolds Immersing in Rn+k.
Cobordisme d'immersions
Cobordismes de plongments et produits homotopiques
Cocordance and Isotopy of Smooth Embeddings in Low Codimensions.
Cohomologies de certaines formes sphériques
Combinatoire des simplexes sans singularités I. Le cas différentiable
On définit le bicomplexe , extension naturelle du complexe engendré par un ensemble simplicial . Ceci permet de définir la notion de ruban de base un cycle de . La somme directe de l’homologie des colonnes de contient, outre l’homologie de , des groupes dans lesquels se trouvent les obstructions à l’existence de rubans. Si est un sous-ensemble simplicial, stable par subdivision, de l’ensemble des simplexes singuliers d’un espace topologique, l’existence de rubans entraîne l’invariance...
Compactness Results for Orbifold Instantons.
Complex curves and surgery
Curves and surfaces in real projective spaces: an approach to generic projections