The classification of real projective structures on compact surfaces

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dc.contributor.authorChoi, Suhyoungko
dc.contributor.authorGoldman, WMko
dc.date.accessioned2013-03-02T19:58:28Z-
dc.date.available2013-03-02T19:58:28Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1997-04-
dc.identifier.citationBULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, v.34, no.2, pp.161 - 171-
dc.identifier.issn0273-0979-
dc.identifier.urihttp://hdl.handle.net/10203/75263-
dc.description.abstractReal projective structures (RP2-structures) on compact surfaces are classified. The space of projective equivalence classes of real projective structures on a closed orientable surface of genus g > 1 is a countable disjoint union of open cells of dimension 16g - 16. A key idea is Choi's admissible decomposition of a real projective structure into convex subsurfaces along closed geodesics. The deformation space of convex structures forms a connected component in the moduli space of representations of the fundamental group in PGL(3, R), establishing a conjecture of Hitchin.-
dc.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.titleThe classification of real projective structures on compact surfaces-
dc.typeArticle-
dc.identifier.wosidA1997WU63100003-
dc.identifier.scopusid2-s2.0-0039768877-
dc.type.rimsART-
dc.citation.volume34-
dc.citation.issue2-
dc.citation.beginningpage161-
dc.citation.endingpage171-
dc.citation.publicationnameBULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.1090/S0273-0979-97-00711-8-
dc.contributor.localauthorChoi, Suhyoung-
dc.contributor.nonIdAuthorGoldman, WM-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorreal projective structure-
dc.subject.keywordAuthorconvex real projective structure-
dc.subject.keywordAuthordeformation space-
dc.subject.keywordAuthorrepresentation of fundamental groups-
dc.subject.keywordAuthordeveloping map-
dc.subject.keywordAuthorholonomy-
dc.subject.keywordAuthorTeichmuller space-
dc.subject.keywordAuthorHiggs bundle-
dc.subject.keywordAuthorSL(3,R)-representation variety-
dc.subject.keywordPlusCONVEX DECOMPOSITIONS-
dc.subject.keywordPlusMANIFOLDS-
dc.subject.keywordPlusGEOMETRY-
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