9 citations · 30 across the 21 of their papers we have counts for
5 papers · 1 filter
Weightings and Lie groupoids
Yiannis Loizides
This note originated with a mini-course taught at KU Leuven by the author in June 2026. We review the definition of weightings (or quasi-homogeneous structures), the weighted norma…
Integral Points and Volume of Integral-Integral Affine Manifolds
Oded Elisha, Yael Karshon, Yiannis Loizides
Using rational Ehrhart theory and Fourier analysis, we give an elementary proof that the volume of a closed manifold equipped with an integral-integral affine structure equals the…
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.…
Singular Lie filtrations and weightings
Yiannis Loizides, Eckhard Meinrenken
We study weightings (a.k.a. quasi-homogeneous structures) arising from manifolds with singular Lie filtrations. This generalizes constructions of Choi-Ponge, Van Erp-Yuncken, and H…
Differential Geometry of Weightings
Yiannis Loizides, Eckhard Meinrenken
We describe the notion of a \emph{weighting} along a submanifold , and explore its differential-geometric implications. This includes a detailed discussion of weighted…