371 citations · 693 across the 25 of their papers we have counts for
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On the van Est analogy in Hopf cyclic cohomology
Henri Moscovici
We present results relating the Hopf cyclic cohomology of the Hopf algebra of moving frames with that of the DG Hopf algebra of moving coframes, analogous to the van Est isomorphis…
Hopf algebra and universal Chern classes
Henri Moscovici, Bahram Rangipour
We construct a variant of the Hopf algebra , which acts directly on the noncommutative model for the generic space of leaves rather than on its frame…
Equivariant Chern classes in Hopf cyclic cohomology
Henri Moscovici
We present a geometric approach, in the spirit of the Chern-Weil theory, for constructing cocycles representing the classes of the Hopf cyclic cohomology of the Hopf algebra H(n) r…
Geometric construction of Hopf cyclic characteristic classes
Henri Moscovici
In earlier joint work with A. Connes on transverse index theory on foliations, cyclic cohomology adapted to Hopf algebras has emerged as a decisive tool in deciphering the total in…
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…
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…