Quasimap floer cohomology for varying symplectic quotients

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)467-480
Number of pages14
JournalCanadian Journal of Mathematics
Volume65
Issue number2
DOIs
StatePublished - Apr 2013

Fingerprint

Cohomology
Quotient
Fiber
Hamiltonian Actions
Moment
Torus Action
Singular Set
Ellipsoid
Codimension
Resolve
Orbit
Subset

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Floer cohomology
  • Hamiltonian displaceability

Cite this

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Quasimap floer cohomology for varying symplectic quotients. / Wilson, Glen; Woodward, Christopher T.

In: Canadian Journal of Mathematics, Vol. 65, No. 2, 04.2013, p. 467-480.

Research output: Contribution to journalArticle

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