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Quasimap Floer Cohomology for Varying Symplectic Quotients

Published online by Cambridge University Press:  20 November 2018

Glen Wilson  and
Christopher T. Woodward
Glen Wilson
Affiliation:
Mathematics-Hill Center, Rutgers University, Piscataway, NJ 08854-8019, U.S.A., e-mail: glenmatthewwilson@gmail.com, ctw@math.rutgers.edu
Christopher T. Woodward
Affiliation:
Mathematics-Hill Center, Rutgers University, Piscataway, NJ 08854-8019, U.S.A., e-mail: glenmatthewwilson@gmail.com, ctw@math.rutgers.edu
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Abstract

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We show that quasimap Floer cohomology for varying symplectic quotients resolves several puzzles regarding displaceability of toric moment fibers. For example, we 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 we determine displaceability for most of the moment fibers of a symplectic ellipsoid.

Keywords

53DxxFloer cohomologyHamiltonian displaceability
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 65 , Issue 2 , 01 April 2013 , pp. 467 - 480
Copyright
Copyright © Canadian Mathematical Society 2013

References

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