M. M. Postnikov: his life, work and legacy
Maps into and applications
Massey Products and H (p, q)-Systems.
Mod 2 exterior H-spaces.
Mod p loop space homology.
Modular invariant theory and the iterated total power operation
L'operazione coomologica totale iterata in coomologia ordinaria a coefficienti in ha una sua espressione a seconda della base fissata nell'algebra di Steenrod . Fissato un primo dispari, vengono qui calcolati i coefficienti dell'operazione totale doppia iterata quando si sceglie in la base dei monomi ammissibili. Si fornisce inoltre una dimostrazione alternativa di una versione normalizzata di un teorema di Mùi, ottenuta considerando una particolare successione di funzioni, in analogia al...
Modular invariant theory, homology operations, and the transfer between rings of invariants of parabolic subgroups
Module derivations and cohomological splitting of adjoint bundles
Let G be a finite loop space such that the mod p cohomology of the classifying space BG is a polynomial algebra. We consider when the adjoint bundle associated with a G-bundle over M splits on mod p cohomology as an algebra. In the case p = 2, an obstruction for the adjoint bundle to admit such a splitting is found in the Hochschild homology concerning the mod 2 cohomologies of BG and M via a module derivation. Moreover the derivation tells us that the splitting is not compatible with the Steenrod...
Monomial bases in the mod- Steenrod algebra
In this paper we study sets of some special monomials which form bases for the mod- Steenrod algebra .
Motivic cohomology with -coefficients
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...