DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cha, JC | - |
dc.date.accessioned | 2016-04-01T02:45:52Z | - |
dc.date.available | 2016-04-01T02:45:52Z | - |
dc.date.created | 2010-10-19 | - |
dc.date.issued | 2010-06 | - |
dc.identifier.issn | 1435-9855 | - |
dc.identifier.other | 2010-OAK-0000021755 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/25722 | - |
dc.description.abstract | We obtain new invariants of topological link concordance and homology cobordism of 3-manifolds from Hirzebruch-type intersection form defects of towers of iterated p-covers. Our invariants can extract geometric information from an arbitrary depth of the derived series of the fundamental group, and can detect torsion which is invisible via signature invariants. Applications illustrating these features include the following: (1) There are infinitely many homology equivalent rational 3-spheres which are indistinguishable via multisignatures, eta-invariants, and L-2-signatures but have distinct homology cobordism types. (2) There is an infinite family of 2-torsion (amphichiral) knots with non-slice iterated Bing doubles; as a special case, we give the first proof of the conjecture that the Bing double of the figure eight knot is not slice. (3) There exist infinitely many torsion elements at any depth of the Cochran-Orr-Teichner filtration of link concordance. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | EUROPEAN MATHEMATICAL SOC | - |
dc.relation.isPartOf | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.subject | Link concordance | - |
dc.subject | homology cobordism | - |
dc.subject | iterated p-cover | - |
dc.subject | intersection form defect | - |
dc.subject | Bing double | - |
dc.subject | KNOT CONCORDANCE | - |
dc.subject | RIEMANNIAN GEOMETRY | - |
dc.subject | SPECTRAL ASYMMETRY | - |
dc.subject | SPACE-FORMS | - |
dc.subject | LENS SPACES | - |
dc.subject | INVARIANTS | - |
dc.subject | L-2-SIGNATURES | - |
dc.subject | FILTRATION | - |
dc.title | Link concordance, homology cobordism, and Hirzebruch-type defects from iterated p-covers | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.4171/JEMS/209 | - |
dc.author.google | Cha, JC | - |
dc.relation.volume | 12 | - |
dc.relation.issue | 3 | - |
dc.relation.startpage | 555 | - |
dc.relation.lastpage | 610 | - |
dc.contributor.id | 10057066 | - |
dc.relation.journal | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, v.12, no.3, pp.555 - 610 | - |
dc.identifier.wosid | 000277126100001 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 610 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 555 | - |
dc.citation.title | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 12 | - |
dc.contributor.affiliatedAuthor | Cha, JC | - |
dc.identifier.scopusid | 2-s2.0-77954950174 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 19 | - |
dc.description.scptc | 18 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordPlus | KNOT CONCORDANCE | - |
dc.subject.keywordPlus | SPECTRAL ASYMMETRY | - |
dc.subject.keywordPlus | INVARIANTS | - |
dc.subject.keywordPlus | FILTRATION | - |
dc.subject.keywordAuthor | Link concordance | - |
dc.subject.keywordAuthor | homology cobordism | - |
dc.subject.keywordAuthor | iterated p-cover | - |
dc.subject.keywordAuthor | intersection form defect | - |
dc.subject.keywordAuthor | Bing double | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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