DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cha, JC | - |
dc.contributor.author | Orr, KE | - |
dc.date.accessioned | 2016-03-31T08:45:54Z | - |
dc.date.available | 2016-03-31T08:45:54Z | - |
dc.date.created | 2013-03-04 | - |
dc.date.issued | 2012-06 | - |
dc.identifier.issn | 0010-3640 | - |
dc.identifier.other | 2012-OAK-0000026639 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/15998 | - |
dc.description.abstract | Aimed at geometric applications, we prove the homology cobordism invariance of the L2-Betti numbers and L2-signature defects associated to the class of amenable groups lying in Strebel's class D(R), which includes some interesting infinite/finite non-torsion-free groups. This result includes the only prior known condition, that G is a poly-torsion-free abelian group (or a finite p-group). We define a new commutator series that refines Harvey's torsion-free derived series of groups, using the localizations of groups and rings of Bousfield, Vogel, and Cohn. The series, called the local derived series, has versions for homology with arbitrary coefficients and satisfies functoriality and an injectivity theorem. We combine these two new tools to give some applications to distinct homology cobordism types within the same simple homotopy type in higher dimensions, to concordance of knots in three manifolds, and to spherical space forms in dimension 3. (C) 2012 Wiley Periodicals, Inc. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | WILEY-BLACKWELL | - |
dc.relation.isPartOf | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | - |
dc.title | L-2-signatures, homology localization, and amenable groups | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1002/CPA.21393 | - |
dc.author.google | Cha, JC | - |
dc.author.google | Orr, KE | - |
dc.relation.volume | 65 | - |
dc.relation.issue | 6 | - |
dc.relation.startpage | 790 | - |
dc.relation.lastpage | 832 | - |
dc.contributor.id | 10057066 | - |
dc.relation.journal | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, v.65, no.6, pp.790 - 832 | - |
dc.identifier.wosid | 000301774300002 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 832 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 790 | - |
dc.citation.title | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | - |
dc.citation.volume | 65 | - |
dc.contributor.affiliatedAuthor | Cha, JC | - |
dc.identifier.scopusid | 2-s2.0-84858793057 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 12 | - |
dc.description.scptc | 11 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordPlus | LINK CONCORDANCE | - |
dc.subject.keywordPlus | KNOT CONCORDANCE | - |
dc.subject.keywordPlus | SERIES | - |
dc.subject.keywordPlus | INVARIANTS | - |
dc.subject.keywordPlus | HIRZEBRUCH | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
library@postech.ac.kr Tel: 054-279-2548
Copyrights © by 2017 Pohang University of Science ad Technology All right reserved.