3 papers
math.SG2026
Symplectic torus actions with non-contractible orbits
Rei Henigman, Yael Karshon
We prove that a symplectic action on a closed connected -dimensional symplectic manifold is Hamiltonian if and only if its orbits are contractible. This generalizes a…
math.DG2026
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…
math.SG2026
Weinstein neighbourhood theorems for stratified subspaces
Yael Karshon, Sara B. Tukachinsky, Yoav Zimhony
By analogy with Weinstein's neighbourhood theorem, we prove a uniqueness result for symplectic neighbourhoods of a large family of stratified subspaces. This result generalizes exi…