activity
19982005
most citedFrom Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

58 citations · 207 across the 10 of their papers we have counts for

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math.QA2005★ 23 cited

Background independent geometry and Hopf cyclic cohomology

Alain Connes, Henri Moscovici

This is primarily a survey of the way in which Hopf cyclic cohomology has emerged and evolved, in close relationship with the application of the noncommutative local index formula…

math.OA2005★ 7 cited

KMS states and complex multiplication

Alain Connes, Matilde Marcolli, Niranjan Ramachandran

We construct a quantum statistical mechanical system which generalizes the Bost-Connes system to imaginary quadratic fields K of arbitrary class number and fully incorporates the e…