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기하학수리물리연구단
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Hamiltonian circle action with self-indexing moment map

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dc.contributor.authorYunhyung Cho-
dc.contributor.authorKim M.K.-
dc.date.available2016-10-06T06:36:08Z-
dc.date.created2016-08-19-
dc.date.issued2016-07-
dc.identifier.issn1073-2780-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/2831-
dc.description.abstractLet (M,ω) be a 2n-dimensional closed symplectic manifold equipped with a Hamiltonian circle action with only isolated fixed points, and let μ : M → ℝ be a moment map. Then it is well-known that μ is a Morse function whose critical point set coincides with the fixed point set MS1. Let ∧2k be the set of all fixed points of Morse index 2k. In this paper, we will show that if μ is constant on ∧2k for each k ≤ n, then (M,ω) satisfies the hard Lefschetz property. In particular, if (M,ω) admits a self-indexing moment map, i.e. μ(z) = 2k for every k ≤ n and z ∈∧2k, then (M,ω) satisfies the hard Lefschetz property-
dc.description.uri1-
dc.language영어-
dc.publisherINT PRESS BOSTON-
dc.titleHamiltonian circle action with self-indexing moment map-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000388457200008-
dc.identifier.scopusid2-s2.0-84978906735-
dc.identifier.rimsid56330ko
dc.date.tcdate2018-10-01-
dc.contributor.affiliatedAuthorYunhyung Cho-
dc.identifier.doi10.4310/MRL.2016.v23.n3.a8-
dc.identifier.bibliographicCitationMATHEMATICAL RESEARCH LETTERS, v.23, no.3, pp.719 - 732-
dc.citation.titleMATHEMATICAL RESEARCH LETTERS-
dc.citation.volume23-
dc.citation.number3-
dc.citation.startPage719-
dc.citation.endPage732-
dc.date.scptcdate2018-10-01-
dc.description.scptc0-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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