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math.KT2018★ 1 cited
Index pairing with Alexander-Spanier cocycles
Alexander Gorokhovsky, Henri Moscovici
We give a uniform construction of the higher indices of elliptic operators associated to Alexander-Spanier cocycles of either parity in terms of a pairing a la Connes between the K…
math.KT2006★ 11 cited
Relative pairing in cyclic cohomology and divisor flows
Matthias Lesch, Henri Moscovici, Markus Pflaum
We construct invariants of relative K-theory classes of multiparameter dependent pseudodifferential operators, which recover and generalize Melrose's divisor flow and its higher od…