Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces.
Harmonic cohomology classes of symplectic manifolds.
Homology Comodules.
Homology functors on shape categories
-local Johnson-Wilson spectra and their Hopf algebroids.
Idempotents and Landweber exactness in brave new algebra.
Injective comodules and Landweber exact homology theories
We classify the indecomposable injective E(n)⁎E(n)-comodules, where E(n) is the Johnson-Wilson homology theory. They are suspensions of the , where 0 ≤ r ≤ n, with the endomorphism ring of being , where denotes the completion of E(r).
Integrating central extensions of Lie algebras via Lie 2-groups
The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of étale Lie 2-groups in the sense of [Get09, Hen08]. In finite dimensions, central extensions of Lie algebras integrate to central extensions of Lie groups, a fact which is due to the vanishing of for each finite-dimensional Lie group. This fact was used by Cartan (in a slightly other guise) to construct the simply connected Lie group associated to each finite-dimensional...
-théorie algébrique et représentations de groupes
-cohomology of locally symmetric varieties
Maps between Classifying Spaces.
Méthodes homologiques dans la théorie des applications et des champs de vecteurs sphériques dans les espaces de Banach [Book]
Morava K-theory of Double Loop Spaces of Spheres.
Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology
A family of multiplicative operations in the BP Steenrod algebra is defined which is related to the total Steenrod power operation from the mod p Steenrod algebra. The main result of the paper links the BP versions of the total Steenrod power with the formal group approach to multiplicative BP operations by identifying the p-typical curves (power series) which correspond to these operations. Some relations are derived from this identification, and a short proof of the Hopf invariant one theorem...
On Bordism Theory of Manifolds with Singularities.
On Formal Groups and Singularities in Complex Corbordism Theory.
On Postnikov-true families of complexes and the Adams completion
On Products in a Family of Cohomology Theories Associated to the Invariant Prime Ideals of ... (BP).
On the Adams spectral sequence for -modules.
On the categorical foundations of homological and homotopical algebra