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math.QA2011
Modular Curvature for Noncommutative Two-Tori
Alain Connes, Henri Moscovici
In this paper we investigate the curvature of conformal deformations by noncommutative Weyl factors of a flat metric on a noncommutative 2-torus, by analyzing in the framework of s…
hep-th2011★ 32 cited
Spectral Action for Robertson-Walker metrics
Ali H. Chamseddine, Alain Connes
We use the Euler-Maclaurin formula and the Feynman-Kac formula to extend our previous method of computation of the spectral action based on the Poisson summation formula. We show h…
math.QA2011
On the arithmetic of the BC-system
Alain Connes, Caterina Consani
For each prime p and each embedding of the multiplicative group of an algebraic closure of F_p as complex roots of unity, we construct a p-adic indecomposable representation of the…