1.4k citations · 8.5k across the 104 of their papers we have counts for
Showing 1998Show all
3 papers · 1 filter
math.NT1998★ 1 cited
Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
Alain Connes
We give a spectral interpretation of the critical zeros of the Riemann zeta function as an absorption spectrum, while eventual noncritical zeros appear as resonances. We give a geo…
hep-th1998★ 826 cited
Hopf Algebras, Renormalization and Noncommutative Geometry
Alain Connes, Dirk Kreimer
We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for fol…
math.DG1998★ 371 cited
Hopf algebras, cyclic cohomology and the transverse index theory
Alain Connes, Henri Moscovici
We present the solution of a longstanding internal problem of noncommutative geometry, namely the computation of the index of a transversally elliptic operator on an arbitrary foli…