Connections on central bimodules

We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative generalization of linear connections. We also discuss the different noncommutative versions of differential forms based on derivations. Then we investigate reality conditions and a noncommutative generalization of pseudo-riemannian structures.Comment: 27 pages, AMS-LaTe

Higgs Mass and Noncommutative Geometry

We show that the description of the electroweak interactions based on noncommutative geometry of a continuous and a discrete space gives no special relations between the Higgs mass and other parameters of the model. We prove that there exists a gauge invariant term, linear in the curvature, which is trivial in the standard differential geometry but nontrivial in the case of the discrete geometry. The relations could appear only if one neglects this term, otherwise one gets the Lagrangian of the Standard model with the exact number of free parameters.Comment: 23 pages LaTeX, TPJU 4/93, (minor text misprints corrected

A bigraded version of the Weil algebra and of the Weil homomorphism for Donaldson invariants

We describe a bigraded generalization of the Weil algebra, of its basis and of the characteristic homomorphism which besides ordinary characteristic classes also maps on Donaldson invariants.Comment: 19 page

Rereading Frye: the published and unpublished works

Review of "Rereading Frye: The published and unpublished works" edited by David Boyd and Imre Salusinszk

Exeter College, Oxford lecture

Exeter College, Oxford lectur

Letters to the Editor

Dubois Patrick. KERGOMARD (Mme Pauline). In: , . Le dictionnaire de pédagogie et d'instruction primaire de Ferdinand Buisson : répertoire biographique des auteurs. Paris : Institut national de recherche pédagogique, 2002. pp. 90-91. (Bibliothèque de l'Histoire de l'Education, 17

Steel: Past the Crossroads

[Excerpt] A majority of the 154,532 steelworkers who are presently laid off will never go back to work. They will be shut out of the steel industry because the steel companies have a new game plan. They plan to increase profits in such a way that they will not need to employ many steelworkers. In an effort to raise the price of steel and reduce labor costs, the steel companies will continue to cut down steel capacity, shut down old mills and departments and introduce labor-displacing technology. Unless public pressure forces the government to step in and change this game plan, the steel industry, steelworkers, and steel communities will never be the same—even with an upturn in the economy