DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suhyoung | ko |
dc.contributor.author | Lee, Jungkeun | ko |
dc.date.accessioned | 2008-10-10T05:22:43Z | - |
dc.date.available | 2008-10-10T05:22:43Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2006-09 | - |
dc.identifier.citation | SIBERIAN MATHEMATICAL JOURNAL, v.47, no.5, pp.955 - 974 | - |
dc.identifier.issn | 0037-4466 | - |
dc.identifier.uri | http://hdl.handle.net/10203/7629 | - |
dc.description.abstract | Hodgson and Kerckhoff found a small bound on Dehn surgered 3-manifolds from hyperbolic knots not admitting hyperbolic structures using deformations of hyperbolic cone-manifolds. They asked whether the area normalized meridian length squared of maximal tubular neighborhoods of the singular locus of the cone-manifold is decreasing and that summed with the cone-angle squared is increasing as we deform the cone-angles. We confirm this near 0 cone-angles for an infinite family of hyperbolic cone-manifolds obtained by Deln surgeries along the Whitehead link complements. The basic method rests on explicit holonomy computations using the A-polynomials and finding the maximal tubes. One of the key tools is the Taylor expansion of a geometric component of the zero set of the A-polynomial in terms of the cone-angles. We also show that a sequence of Taylor expansions for Dehn surgered manifolds converges to 1 for the limit hyperbolic manifold. | - |
dc.description.sponsorship | The first author gratefully acknowledges support from the Korea Research Foundation (Grant KRF–2002–070–C00010). | en |
dc.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | CONSULTANTS BUREAU/SPRINGER | - |
dc.title | Maximal tubes under the deformations of 3-dimensional hyperbolic cone-manifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000241845200019 | - |
dc.identifier.scopusid | 2-s2.0-33749173477 | - |
dc.type.rims | ART | - |
dc.citation.volume | 47 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 955 | - |
dc.citation.endingpage | 974 | - |
dc.citation.publicationname | SIBERIAN MATHEMATICAL JOURNAL | - |
dc.identifier.doi | 10.1007/s11202-006-0107-5 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Choi, Suhyoung | - |
dc.contributor.nonIdAuthor | Lee, Jungkeun | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | hyperbolic manifold | - |
dc.subject.keywordAuthor | cone-manifold | - |
dc.subject.keywordAuthor | deformations | - |
dc.subject.keywordPlus | 3-MANIFOLDS | - |
dc.subject.keywordPlus | VARIETIES | - |
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