10 citations · 24 across the 5 of their papers we have counts for
5 papers
On the finite spectral triple of an almost-commutative geometry
F. J. Vanhecke, A. R. da Silva, C. Sigaud
In this short communication, we examine the relevance of the signature of the space-time metric in the construction of the product of a pseudo-Riemannian spectral triple with a fin…
Symmetries in Non Commutative Configuration space
F. J. Vanhecke, C. Sigaud, A. R. da Silva
Extending earlier work(*), we examine the deformation of the canonical symplectic structure in a cotangent bundle $T^\star(\Q)$ by additional terms implying the Poisson non-commuta…
Connes-Lott model building on the two-sphere
J. A. Mignaco, C. Sigaud, A. R. da Silva +1
In this work we examine generalized Connes-Lott models on the two-sphere. The Hilbert space of the continuum spectral triple is taken as the space of sections of a twisted spinor b…
On the Product of Real Spectral Triples
F. J. Vanhecke
The product of two real spectral triples {A1,H1,D1,J1,gamma1} and {A2,H2,D2,J2(,gamma2)}, the first of which is necessarily even, was defined by A.Connes as {A,H,D,J(,gamma)} given…
The Connes-Lott program on the sphere
J. A. Mignaco, C. Sigaud, A. R. da Silva +1
We describe the classical Schwinger model as a study of the projective modules over the algebra of complex-valued functions on the sphere. On these modules, classified by $π_2(S^2)…