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Oh, Yong Geun
기하학 수리물리 연구단
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Lagrangian fibers of Gelfand-Cetlin systems

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dc.contributor.authorYunhyung Cho-
dc.contributor.authorYoosik Kim-
dc.contributor.authorYong-Geun Oh-
dc.date.accessioned2020-12-22T02:33:03Z-
dc.date.accessioned2020-12-22T02:33:03Z-
dc.date.available2020-12-22T02:33:03Z-
dc.date.available2020-12-22T02:33:03Z-
dc.date.created2020-09-09-
dc.date.issued2020-10-
dc.identifier.issn0001-8708-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/7617-
dc.description.abstract© 2020 Elsevier Inc. A Gelfand-Cetlin system is a completely integrable system defined on a partial flag manifold whose image is a rational convex polytope called a Gelfand-Cetlin polytope. Motivated by the study of Nishinou-Nohara-Ueda [24] on the Floer theory of Gelfand-Cetlin systems, we provide a detailed description of topology of Gelfand-Cetlin fibers. In particular, we prove that any fiber over an interior point of an r-dimensional face of the Gelfand-Cetlin polytope is an isotropic submanifold and is diffeomorphic to Tr×N for some smooth manifold N and Tr≅(S1)r. We also prove that such N's are exactly the vanishing cycles shrinking to points in the associated toric variety via the toric degeneration. We also devise an algorithm of reading off Lagrangian fibers from the combinatorics of the ladder diagram-
dc.description.uri1-
dc.language영어-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleLagrangian fibers of Gelfand-Cetlin systems-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000558460900022-
dc.identifier.scopusid2-s2.0-85088278706-
dc.identifier.rimsid72819-
dc.contributor.affiliatedAuthorYong-Geun Oh-
dc.identifier.doi10.1016/j.aim.2020.107304-
dc.identifier.bibliographicCitationADVANCES IN MATHEMATICS, v.372, pp.107304-
dc.citation.titleADVANCES IN MATHEMATICS-
dc.citation.volume372-
dc.citation.startPage107304-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.subject.keywordPlusTORIC DEGENERATIONS-
dc.subject.keywordPlusTORUS FIBERS-
dc.subject.keywordPlusCONVEXITY-
dc.subject.keywordAuthorGelfand-Cetlin system-
dc.subject.keywordAuthorFlag variety-
dc.subject.keywordAuthorCompletely integrable system-
dc.subject.keywordAuthorHamiltonian action-
dc.subject.keywordAuthorLagrangian fibration-
dc.subject.keywordAuthorLadder diagram-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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