6 citations · 10 across the 10 of their papers we have counts for
21 papers
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…
Slices for reductive group actions in algebraic and holomorphic symplectic geometry
Peter Crooks, Rebecca Goldin, Yiannis Loizides
Symplectic slice theorems elucidate the local structure of symplectic manifolds carrying Hamiltonian actions of compact Lie groups. We generalize these theorems in two natural sett…
Integral points and volume of integral-integral affine manifolds
Oded Elisha, Yael Karshon, Yiannis Loizides
We give an elementary proof that, for a closed manifold with an integral-integral affine structure, its total volume and number of integral points coincide. The proof uses rational…
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.…
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…
Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
Yi Lin, Yiannis Loizides, Reyer Sjamaar +1
We extend the Marsden-Weinstein reduction theorem and the Darboux-Moser-Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplecti…