152 citations · 851 across the 20 of their papers we have counts for
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Type III and spectral triples
Alain Connes, Henri Moscovici
We explain how a simple twisting of the notion of spectral triple allows to incorporate type III examples, such as those arising from the transverse geometry of codimension one fol…
Noncommutative Geometry and the standard model with neutrino mixing
Alain Connes
We show that allowing the metric dimension of a space to be independent of its KO-dimension and turning the finite noncommutative geometry F-- whose product with classical 4-dimens…
Inner fluctuations of the spectral action
Alain Connes, Ali H. Chamseddine
We prove in the general framework of noncommutative geometry that the inner fluctuations of the spectral action can be computed as residues and give exactly the counterterms for th…
A walk in the noncommutative garden
Alain Connes, Matilde Marcolli
This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry,…