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

58 citations · 137 across the 11 of their papers we have counts for

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Showing 2005Show all

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cond-mat.mes-hall2005

Towards the fractional quantum Hall effect: a noncommutative geometry perspective

Matilde Marcolli, Varghese Mathai

In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of e…

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…