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math.DG2023
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.…
math.DG2022
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…