23 citations · 36 across the 3 of their papers we have counts for
7 papers
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…
Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry
Alain Connes, Henri Moscovici
We prove a cyclic cohomological analogue of Haefliger's van Est-type theorem for the groupoid of germs of diffeomorphisms of a manifold. The differentiable version of cyclic cohomo…
Cyclic Cohomology and Hopf Symmetry
Alain Connes, Henri Moscovici
Cyclic cohomology has been recently adapted to the treatment of Hopf symmetry in noncommutative geometry. The resulting theory of characteristic classes for Hopf algebras and their…
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…