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dc.contributor.authorCho, Yunhyungen_US
dc.contributor.authorKim, Yoosiken_US
dc.contributor.authorOh, Yong-Geunen_US
dc.date.accessioned2018-05-23T11:57:06Z
dc.date.available2018-05-23T11:57:06Z
dc.identifier.citationYunhyung Cho, Y Kim, Yong-Geun Oh. "Lagrangian fibers in Gelfand-Cetlin systems."
dc.identifier.urihttps://hdl.handle.net/2144/29002
dc.description.abstractMotivated by the study of Nishinou-Nohara-Ueda on the Floer thoery of Gelfand-Cetlin systems over complex partial flag manifolds, we provide a complete description of the topology of Gelfand-Cetlin fibers. We prove that all fibers are \emph{smooth} isotropic submanifolds and give a complete description of the fiber to be Lagrangian in terms of combinatorics of Gelfand-Cetlin polytope. Then we study (non-)displaceability of Lagrangian fibers. After a few combinatorial and numercal tests for the displaceability, using the bulk-deformation of Floer cohomology by Schubert cycles, we prove that every full flag manifold (n) (n≥3) with a monotone Kirillov-Kostant-Souriau symplectic form carries a continuum of non-displaceable Lagrangian tori which degenerates to a non-torus fiber in the Hausdorff limit. In particular, the Lagrangian S3-fiber in (3) is non-displaceable the question of which was raised by Nohara-Ueda who computed its Floer cohomology to be vanishing.en_US
dc.rightsAttribution 4.0 Internationalen_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectSymplectic geometryen_US
dc.subjectGelfand-Cetlin fibersen_US
dc.subjectLagrangian fibersen_US
dc.subjectFloer homologyen_US
dc.titleLagrangian fibers in Gelfand-Cetlin systemsen_US
dc.typeArticleen_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Mathematics & Statisticsen_US
pubs.publication-statusSubmitteden_US


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Attribution 4.0 International
Except where otherwise noted, this item's license is described as Attribution 4.0 International