371 citations · 693 across the 25 of their papers we have counts for
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Modular Gaussian curvature
Matthias Lesch, Henri Moscovici
We review the state of the art of our understanding of the conformal geometry of the irrational rotation algebra. This was sparked by a paper by Cohen and Connes. We review the mor…
Modular curvature and Morita equivalence
Matthias Lesch, Henri Moscovici
The curvature of the noncommutative torus ( irrational) endowed with a noncommutative conformal metric has been the focus of attention of several recent works. Continuin…
Modular Curvature for Noncommutative Two-Tori
Alain Connes, Henri Moscovici
In this paper we investigate the curvature of conformal deformations by noncommutative Weyl factors of a flat metric on a noncommutative 2-torus, by analyzing in the framework of s…
Hopf cyclic cohomology and transverse characteristic classes
Henri Moscovici, Bahram Rangipour
We refine the cyclic cohomological apparatus for computing the Hopf cyclic cohomology of the Hopf algebras associated to infinite primitive Cartan-Lie pseudogroups, and for the tra…
Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology
Henri Moscovici, Bahram Rangipour
We associate to each infinite primitive Lie pseudogroup a Hopf algebra of `transverse symmetries', by refining a procedure due to Connes and the first author in the case of the gen…
Cyclic cohomology of Hopf algebras of transverse symmetries in codimension 1
Henri Moscovici, Bahram Rangipour
We develop intrinsic tools for computing the periodic Hopf cyclic cohomology of Hopf algebras related to transverse symmetry in codimension 1. Besides the Hopf algebra found by Con…