Cocordance and Isotopy of Smooth Embeddings in Low Codimensions.
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.
Codimension two immersions of oriented Grassmann manifolds.
Codimension two transcendental submanifolds of projective space
We provide a simple characterization of codimension two submanifolds of that are of algebraic type, and use this criterion to provide examples of transcendental submanifolds when . If the codimension two submanifold is a nonsingular algebraic subset of whose Zariski closure in is a nonsingular complex algebraic set, then it must be an algebraic complete intersection in .
Cohomologically Kähler manifolds with no Kähler metrics.
Cohomologie basique et dualité des feuilletages riemanniens
Nous démontrons des théorèmes de dualité de Poincaré et de de Rham pour la cohomologie basique et l’homologie des courants transverses invariants d’un feuilletage riemannien.
Cohomologies de certaines formes sphériques
Cohomology, dimension and large Riemannian manifolds.
Cohomology of Lie groups made discrete.
We give a survey of the work of Milnor, Friedlander, Mislin, Suslin and other authors on the Friedlander-Milnor conjecture on the homology of Lie groups made discrete and its relation to the algebraic K-theory of fields.
Cohomology of Symplectomorphism Groups and Critical Values of Hamiltonians.
Cohomology of the Lie Algebra of Vector Fields on a Complex Manifold.
Cohomology rings of symplectic quotients.
Cohomology rings, Rochlin function, linking pairing and the Goussarov-Habiro theory of three-manifolds.
Coincidence free pairs of maps
This paper centers around two basic problems of topological coincidence theory. First, try to measure (with the help of Nielsen and minimum numbers) how far a given pair of maps is from being loose, i.e. from being homotopic to a pair of coincidence free maps. Secondly, describe the set of loose pairs of homotopy classes. We give a brief (and necessarily very incomplete) survey of some old and new advances concerning the first problem. Then we attack the second problem mainly in the setting of homotopy...
Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II).
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...
Combinatorial Hodge Theory and Signature Operator.
Commutators of C...-diffeomorphisms. Appendix to "A Curious Remark Concerning the Geometric Transfer Map" by John N. Mather.