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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.SG2023
Families of elliptic boundary problems and index theory of the Atiyah-Bott classes
Yiannis Loizides
We study a natural family of non-local elliptic boundary problems on a compact oriented surface parametrized by the moduli space of flat -connections with fr…