Quasimap Floer cohomology and varying symplectic quotients

Abstract

We use quasimap Floer cohomology for varying symplectic quotients to resolve several puzzles regarding displaceability of toric moment fibers. For example, we (i) present a compact Hamiltonian torus action containing an {\em open} subset of non-displaceable orbits and a codimension four singular set, partly answering a question of McDuff, and (ii) determine displaceability for most of the moment fibers of a symplectic ellipsoid.

13 pages, minor corrections

References in corpus (2)

• Toric degeneration and non-displaceable Lagrangian tori in $S^2\times S^2$
• Remarks on Lagrangian intersections in toric manifolds

Cited by in corpus (3)

• Quasi-states, quasi-morphisms, and the moment map
• Holomorphic orbidiscs and Lagrangian Floer cohomology of symplectic toric orbifolds
• Remarks on Lagrangian intersections in toric manifolds