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Quasimap Floer Cohomology for Varying Symplectic Quotients

  Published:2012-04-19
 Printed: Apr 2013
  • Glen Wilson,
    Mathematics-Hill Center, Rutgers University, Piscataway, NJ 08854-8019, U.S.A.
  • Christopher T. Woodward,
    Mathematics-Hill Center, Rutgers University, Piscataway, NJ 08854-8019, U.S.A.
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Abstract

We show that quasimap Floer cohomology for varying symplectic quotients resolves several puzzles regarding displaceability of toric moment fibers. For example, we (i) present a compact Hamiltonian torus action containing an 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.
Keywords: Floer cohomology, Hamiltonian displaceability Floer cohomology, Hamiltonian displaceability
MSC Classifications: 53Dxx show english descriptions Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] 53Dxx - Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
 

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