On the Novikov complex for rational Morse forms
On the uniqueness problem of bivariant Chern classes.
Quasi-isomorphic perversities and obstruction theory for pseudomanifolds
Quelques applications de la cohomologie d'intersection
Rational intersection cohomology of quotient varieties. II.
Relationship among various Vietoris-type and microsimplicial homology theories
In this paper, we clarify the relationship among the Vietoris-type homology theories and the microsimplicial homology theories, where the latter are nonstandard homology theories defined by M.C. McCord (for topological spaces), T. Korppi (for completely regular topological spaces) and the author (for uniform spaces). We show that McCord’s and our homology are isomorphic for all compact uniform spaces and that Korppi’s and our homology are isomorphic for all fine uniform spaces. Our homology shares...
Retractions onto the Space of Continuous Divergence-free Vector Fields
We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .
Some lagrangian invariants of symplectic manifolds
The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by (resp. ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to . That is to say, there is a bilinear map , which is invariant under F-preserving symplectic diffeomorphisms....
Some Properties of a Cohomology Group Associated to a Totally Geodesic Foliation.
Spin bordism and elliptic homology.
Subdivisiones Relativas Sobre Pre-Haces Y Homologias Simpliciales Isomorfas.
Surfaces et cohomologie bornée.
Symplectic homology II. A general construction.
Symplectic Homology via Generating Functions.
Tautness and applications of the Alexander-Spanier cohomology of -types.
The 3-cocycles of the Alexander quandles .
The cohomology algebra of certain free loop spaces
Let X be a simply connected space and LX the space of free loops on X. We determine the mod p cohomology algebra of LX when the mod p cohomology of X is generated by one element or is an exterior algebra on two generators. We also provide lower bounds on the dimensions of the Hodge decomposition factors of the rational cohomology of LX when the rational cohomology of X is a graded complete intersection algebra. The key to both of these results is the identification of an important subalgebra of...
The complex of words and Nakaoka stability.
The cyclotomic trace and algebraic K-theory of spaces.
The de Rham theorem for the noncommutative complex of Cenkl and Porter.