Symplectic coordinates on PSL3(R)-Hitchin components

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dc.contributor.authorChoi, Suhyoungko
dc.contributor.authorJung, Hongtaekko
dc.contributor.authorKim, Hong Chanko
dc.date.accessioned2021-02-15T08:30:13Z-
dc.date.available2021-02-15T08:30:13Z-
dc.date.created2021-02-15-
dc.date.created2021-02-15-
dc.date.created2021-02-15-
dc.date.created2021-02-15-
dc.date.issued2020-12-
dc.identifier.citationPURE AND APPLIED MATHEMATICS QUARTERLY, v.16, no.5, pp.1321 - 1386-
dc.identifier.issn1558-8599-
dc.identifier.urihttp://hdl.handle.net/10203/280727-
dc.description.abstractGoldman parametrizes the PSL 3 (R) -Hitchin component of a closed oriented hyperbolic surface of genus g by 16g−16 parameters. Among them, 10g−10 coordinates are canonical. We prove that the PSL 3 (R)-Hitchin component equipped with the Atiyah–Bott–Goldman symplectic form admits a global Darboux coordinate system such that the half of its coordinates are canonical Goldman coordinates. To this end, we show a version of the action-angle principle and the Zocca-type decomposition formula for the symplectic form of H. Kim and Guruprasad–Huebschmann–Jeffrey-Weinstein given to symplectic leaves of the Hitchin component.-
dc.languageEnglish-
dc.publisherINT PRESS BOSTON-
dc.titleSymplectic coordinates on PSL3(R)-Hitchin components-
dc.typeArticle-
dc.identifier.wosid000618658000001-
dc.type.rimsART-
dc.citation.volume16-
dc.citation.issue5-
dc.citation.beginningpage1321-
dc.citation.endingpage1386-
dc.citation.publicationnamePURE AND APPLIED MATHEMATICS QUARTERLY-
dc.identifier.doi10.4310/PAMQ.2020.v16.n5.a1-
dc.contributor.localauthorChoi, Suhyoung-
dc.contributor.nonIdAuthorJung, Hongtaek-
dc.contributor.nonIdAuthorKim, Hong Chan-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorHitchin component-
dc.subject.keywordAuthorGoldman coordinates-
dc.subject.keywordAuthorDarboux coordinates-
dc.subject.keywordPlusREAL PROJECTIVE-STRUCTURES-
dc.subject.keywordPlusMODULI SPACES-
dc.subject.keywordPlusGROUP SYSTEMS-
dc.subject.keywordPlusLIE-GROUPS-
dc.subject.keywordPlusREPRESENTATIONS-
dc.subject.keywordPlusLECTURES-
dc.subject.keywordPlusFLOWS-
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MA-Journal Papers(저널논문)
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