Maximal tubes under the deformations of 3-dimensional hyperbolic cone-manifolds

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dc.contributor.authorChoi, Suhyoungko
dc.contributor.authorLee, Jungkeunko
dc.date.accessioned2008-10-10T05:22:43Z-
dc.date.available2008-10-10T05:22:43Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2006-09-
dc.identifier.citationSIBERIAN MATHEMATICAL JOURNAL, v.47, no.5, pp.955 - 974-
dc.identifier.issn0037-4466-
dc.identifier.urihttp://hdl.handle.net/10203/7629-
dc.description.abstractHodgson 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.sponsorshipThe first author gratefully acknowledges support from the Korea Research Foundation (Grant KRF–2002–070–C00010).en
dc.languageEnglish-
dc.language.isoen_USen
dc.publisherCONSULTANTS BUREAU/SPRINGER-
dc.titleMaximal tubes under the deformations of 3-dimensional hyperbolic cone-manifolds-
dc.typeArticle-
dc.identifier.wosid000241845200019-
dc.identifier.scopusid2-s2.0-33749173477-
dc.type.rimsART-
dc.citation.volume47-
dc.citation.issue5-
dc.citation.beginningpage955-
dc.citation.endingpage974-
dc.citation.publicationnameSIBERIAN MATHEMATICAL JOURNAL-
dc.identifier.doi10.1007/s11202-006-0107-5-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorChoi, Suhyoung-
dc.contributor.nonIdAuthorLee, Jungkeun-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorhyperbolic manifold-
dc.subject.keywordAuthorcone-manifold-
dc.subject.keywordAuthordeformations-
dc.subject.keywordPlus3-MANIFOLDS-
dc.subject.keywordPlusVARIETIES-
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