Modèle de Segal pour les structures multifeuilletées.
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...
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...
In this paper we study sets of some special monomials which form bases for the mod- Steenrod algebra .
It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. We show that it depends not only on the combinatorics of a cyclic configuration, but also on its metric properties.