Braid Orientations and Bundles with Flat Connections.
Brown–Peterson cohomology and Morava K-theory of DI(4) and its classifying space
DI(4) is the only known example of an exotic 2-compact group, and is conjectured to be the only one. In this work, we study generalized cohomology theories for DI(4) and its classifying space. Specifically, we compute the Morava K-theories, and the P(n)-cohomology of DI(4). We use the non-commutativity of the spectrum P(n) at p=2 to prove the non-homotopy nilpotency of DI(4). Concerning the classifying space, we prove that the BP-cohomology and the Morava K-theories of BDI(4) are all concentrated...
Calculs de groupes d'homotopie stables de la sphère, par la suite spectrale d'Adams-Novikov.
Caractérisation des opérations d'algèbres sur les modules différentiels
Caractérisation des variétés homologiques à l'aide des invariants d'homologie d'intersection
La conférence de J. P. Brasselet au Symposium de Varsovie a eu pour thème les problèmes actuels de l’homologie d’intersection. Nous en présentons ici l’un des aspects, résultat d’un travail commun réalisé dans le cadre du programme Procope et pendant lequel le second auteur a été chercheur associé au CNRS.
Caractéristique d'Euler-Poincaré
Čech cohomology and covering dimension for topological spaces
Čech homology for movable compacta
Čech methods and the adjoint functor theorem
Central Adams operators.
Chain functors with isomorphic homology.
Chain theories and simplicial abelian group spectra.
Characteristic Classes through Classical Invariant Theory.
Characters and K-theory of discrete groups.
Characters and K-theory of discrete groups (Erratum).
Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities.
Chen–Ruan Cohomology of and
In this work we compute the Chen–Ruan cohomology of the moduli spaces of smooth and stable -pointed curves of genus . In the first part of the paper we study and describe stack theoretically the twisted sectors of and . In the second part, we study the orbifold intersection theory of . We suggest a definition for an orbifold tautological ring in genus , which is a subring of both the Chen–Ruan cohomology and of the stringy Chow ring.
Chern Classes and Groups with Periodic Cohomology.
Chern numbers for singular varieties and elliptic homology.
Chern-Dold character in elliptic cohomology.