56 citations · 226 across the 41 of their papers we have counts for
45 papers
A Pick-type theorem for halfway-lattice polygons
Charlene Chu, Yael Karshon
Given a polygon in the plane with vertices on lattice points, Pick's theorem expresses its area A in terms of the number I of lattice points in its interior and the number B of lat…
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…
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…
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…
Integral-integral affine geometry, geometric quantization, and Riemann-Roch
Mark Hamilton, Yael Karshon, Takahiko Yoshida
We give a simple proof that, for a pre-quantized compact symplectic manifold with a Lagrangian torus fibration, its Riemann-Roch number coincides with its number of Bohr-Sommerfeld…
Vector Fields and Flows on Subcartesian Spaces
Yael Karshon, Eugene Lerman
This paper is part of a series of papers on differential geometry of -ringed spaces. In this paper, we study vector fields and their flows on a class of singular spaces.…