DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suhyoung | ko |
dc.date.accessioned | 2008-10-10T05:19:36Z | - |
dc.date.available | 2008-10-10T05:19:36Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004-03 | - |
dc.identifier.citation | GEOMETRIAE DEDICATA, v.104, no.1, pp.161 - 199 | - |
dc.identifier.issn | 0046-5755 | - |
dc.identifier.uri | http://hdl.handle.net/10203/7627 | - |
dc.description.abstract | An orbifold is a topological space modeled on quotient spaces of a finite group actions. We can de. ne the universal cover of an orbifold and the fundamental group as the deck transformation group. Let G be a Lie group acting on a space X. We show that the space of isotopy-equivalence classes of (G, X)-structures on a compact orbifold Sigma is locally homeomorphic to the space of representations of the orbifold fundamental group of Sigma to G following the work of Thurston, Morgan, and Lok. This implies that the deformation space of (G, X)-structures on Sigma is locally homeomorphic to the character variety of representations of the orbifold fundamental group to G when restricted to the region of proper conjugation action by G. | - |
dc.description.sponsorship | The author gratefully acknowledges partial support by the grant number 1999-2-101-002-3 from the Interdisciplinary Research Program of KOSEF | en |
dc.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | SPRINGER | - |
dc.title | Geometric structures on orbifolds and holonomy representations | - |
dc.type | Article | - |
dc.identifier.wosid | 000220672300011 | - |
dc.identifier.scopusid | 2-s2.0-4043149992 | - |
dc.type.rims | ART | - |
dc.citation.volume | 104 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 161 | - |
dc.citation.endingpage | 199 | - |
dc.citation.publicationname | GEOMETRIAE DEDICATA | - |
dc.identifier.doi | 10.1023/B:GEOM.0000022859.74165.44 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Choi, Suhyoung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | deformation space | - |
dc.subject.keywordAuthor | geometric structure | - |
dc.subject.keywordAuthor | group representation | - |
dc.subject.keywordAuthor | orbifold | - |
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