Quasimap Floer cohomology and varying symplectic quotients

2011/05/04 by Glen Matthew Wilson, Glen Wilson, Wilson, Glen +2
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.SG

paper · pdf · doi:10.48550/arxiv.1105.0712

13 pages, minor corrections

arxiv created 2012/04/06 · arxiv updated 2012/04/09

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.

Cited by

• Remarks on Lagrangian intersections in toric manifolds

Related

• Gauged Floer theory of toric moment fibers
• Equivariant Lagrangian Floer theory on compact toric manifolds
• Lagrangian Floer theory on compact toric manifolds I
• Holomorphic orbidiscs and Lagrangian Floer cohomology of symplectic toric orbifolds
• Lagrangian Floer theory on compact toric manifolds: survey