1 citations · 1 across the 3 of their papers we have counts for
3 papers
A fixed-point formula for Dirac operators on Lie groupoids
Ahmad Reza Haj Saeedi Sadegh, Shiqi Liu, Yiannis Loizides +1
We study equivariant families of Dirac operators on the source fibers of a Lie groupoid with a closed space of units and equipped with an action of an auxiliary compact Lie group.…
On Perrot's index cocycles
Jonathan Block, Nigel Higson, Jesus Sanchez
We shall present a simplified version of a construction due to Denis Perrot that recovers the Todd class of the complexified tangent bundle from a JLO-type cyclic cocycle. The cons…
Connes-Moscovici Residue Cocycle For Some Dirac-Type Operators
Ahmad Reza Haj Saeedi Sadegh, Yiannis Loizides, Jesus Sanchez
The residue cocycle associated to a suitable spectral triple is the key component of the Connes-Moscovici local index theorem in noncommutative geometry. We review the relationship…