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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Showing 1999Show all

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math.QA1999

Cyclic Cohomology, Hopf Algebras and the Modular Theory

Alain Connes, Henri Moscovici

We associate canonically a cyclic module to any Hopf algebra endowed with a modular pair, consisting of a group-like element and a character, in involution. This provides the key c…

math.QA1999

Cyclic cohomology and Hopf algebras

Alain Connes, Henri Moscovici

We show by a direct computation that, for any Hopf algebra with a modulus-like character, the formulas first introduced in [CM] in the context of characteristic classes for actions…

hep-th1999

Lessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries

A. Connes, D. Kreimer

We discuss the prominence of Hopf algebras in recent progress in Quantum Field Theory. In particular, we will consider the Hopf algebra of renormalization, whose antipode turned ou…