4 papers · 1 filter
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…
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…
Symplectic excision
Yael Karshon, Xiudi Tang
We use time-independent incomplete Hamiltonian flows to excise interesting closed subsets of positive codimension from symplectic manifolds. Examples of such subsets include what w…