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.
Commutators of Diffeomorphisms
Commutators of Diffeomorphisms: II.
Commutators of diffeomorphisms of a manifold with boundary
A well known theorem of Herman-Thurston states that the identity component of the group of diffeomorphisms of a boundaryless manifold is perfect and simple. We generalize this result to manifolds with boundary. Remarks on -diffeomorphisms are included.
Commuting involutions whose fixed point set consists of two special components
Let Fⁿ be a connected, smooth and closed n-dimensional manifold. We call Fⁿ a manifold with property when it has the following property: if is any smooth closed m-dimensional manifold with m > n and is a smooth involution whose fixed point set is Fⁿ, then m = 2n. Examples of manifolds with this property are: the real, complex and quaternionic even-dimensional projective spaces , and , and the connected sum of and any number of copies of Sⁿ × Sⁿ, where Sⁿ is the n-sphere and n is not...
Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Compact Differentiable 4-Folds with Quaternionic Structures.
Compact Differentiable 4-Folds with Quaternionic Structures (Erratum).
Compact differentiable transformation groups on exotic spheres.
Compactness for embedded pseudoholomorphic curves in 3-manifolds
We prove a compactness theorem for holomorphic curves in 4-dimensional symplectizations that have embedded projections to the underlying 3-manifold. It strengthens the cylindrical case of the SFT compactness theorem [BEH+C03] by using intersection theory to show that degenerations of such sequences never give rise to multiple covers or nodes, so transversality is easily achieved. This has application to the theory of stable finite energy foliations introduced in [HWZ03], and also suggests a new...