131 citations · 278 across the 5 of their papers we have counts for
5 papers
Moduli space and structure of noncommutative 3-spheres
Alain Connes, Michel Dubois-Violette
We analyse the moduli space and the structure of noncommutative 3-spheres. We develop the notion of central quadratic form for quadratic algebras, and prove a general algebraic res…
Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
Alain Connes, Michel Dubois-Violette
We exhibit large classes of examples of noncommutative finite-dimensional manifolds which are (non-formal) deformations of classical manifolds. The main result of this paper is a c…
Generalized cohomology for irreducible tensor fields of mixed Young symmetry type
Michel Dubois-Violette, Marc Henneaux
We construct N-complexes of non completely antisymmetric irreducible tensor fields on generalizing thereby the usual complex (N=2) of differential forms. These comple…
On Curvature in Noncommutative Geometry
M. Dubois-Violette, J. Madore, T. Masson +1
A general definition of a bimodule connection in noncommutative geometry has been recently proposed. For a given algebra this definition is compared with the ordinary definition of…
A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetry multi vector fields
M. Dubois-Violette, P. W. Michor
There is a canonical mapping from the space of sections of the bundle to . It is shown that this is a homomorphism on $Ω(M…