58 citations · 207 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
Rankin-Cohen Brackets and the Hopf Algebra of Transverse Geometry
Alain Connes, Henri Moscovici
We settle in this paper a question left open in our paper ``Modular Hecke algebras and their Hopf symmetry'', by showing how to extend the Rankin-Cohen brackets from modular forms…
Modular Hecke Algebras and their Hopf Symmetry
Alain Connes, Henri Moscovici
We introduce and begin to analyse a class of algebras, associated to congruence subgroups, that extend both the algebra of modular forms of all levels and the ring of classical Hec…
Cyclic Cohomology, Quantum group Symmetries and the Local Index Formula for SUq(2)
Alain Connes
We analyse the noncommutative space underlying the quantum group SUq(2) from the spectral point of view which is the basis of noncommutative geometry, and show how the general theo…
Noncommutative Geometry Year 2000
Alain Connes
We describe basic concepts of noncommutative geometry and a general construction extending the familiar duality between ordinary spaces and commutative algebras to a duality betwee…
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…