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기하학수리물리연구단
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Equivariant wrapped Floer homology and symmetric periodic Reeb orbits

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dc.contributor.authorKim, Joontae-
dc.contributor.authorKim, Seongchan-
dc.contributor.authorMYEONGGI KWON-
dc.date.accessioned2021-03-18T06:50:01Z-
dc.date.accessioned2021-03-18T06:50:02Z-
dc.date.available2021-03-18T06:50:01Z-
dc.date.available2021-03-18T06:50:02Z-
dc.date.created2021-02-26-
dc.date.issued2022-05-
dc.identifier.issn0143-3857-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/9213-
dc.description.abstractThe aim of this article is to apply a Floer theory to study symmetric periodic Reeb orbits. We define positive equivariant wrapped Floer homology using a (anti-)symplectic involution on a Liouville domain and investigate its algebraic properties. By a careful analysis of index iterations, we obtain a non-Trivial lower bound on the minimal number of geometrically distinct symmetric periodic Reeb orbits on a certain class of real contact manifolds. This includes non-degenerate real dynamically convex star-shaped hypersurfaces in which are invariant under complex conjugation. As a result, we give a partial answer to the Seifert conjecture on brake orbits in the contact setting.-
dc.language영어-
dc.publisherCambridge University Press-
dc.titleEquivariant wrapped Floer homology and symmetric periodic Reeb orbits-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000767028000001-
dc.identifier.scopusid2-s2.0-85100549771-
dc.identifier.rimsid74772-
dc.contributor.affiliatedAuthorMYEONGGI KWON-
dc.identifier.doi10.1017/etds.2020.144-
dc.identifier.bibliographicCitationErgodic Theory and Dynamical Systems, v.42, no.5, pp.1708 - 1763-
dc.relation.isPartOfErgodic Theory and Dynamical Systems-
dc.citation.titleErgodic Theory and Dynamical Systems-
dc.citation.volume42-
dc.citation.number5-
dc.citation.startPage1708-
dc.citation.endPage1763-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusMULTIPLE BRAKE ORBITS-
dc.subject.keywordPlusSYMPLECTIC HOMOLOGY-
dc.subject.keywordPlusMINIMAL NUMBER-
dc.subject.keywordPlusMORSE-THEORY-
dc.subject.keywordPlusINDEX-
dc.subject.keywordPlusEXISTENCE-
dc.subject.keywordPlusHYPERSURFACES-
dc.subject.keywordPlusINVARIANT-
dc.subject.keywordPlusENERGY-
dc.subject.keywordAuthorbrake orbit-
dc.subject.keywordAuthorequivariant wrapped Floer homology-
dc.subject.keywordAuthorSeifert conjecture-
dc.subject.keywordAuthorsymmetric periodic Reeb orbit-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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