56 citations · 226 across the 41 of their papers we have counts for
22 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…
Functoriality for symplectic and contact cutting, and equivariant radial-squared blowups
Yael Karshon
We exhibit Lerman's cutting procedure as a functor from the category of manifolds-with-boundary equipped with free circle actions near the boundary, with so-called equivariant tran…
Topology of complexity one quotients
Yael Karshon, Susan Tolman
We describe of the topology of the geometric quotients of 2n dimensional compact connected symplectic manifolds with n-1 dimensional torus actions. When the isotropy weights at eac…