DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cha, Jae Choon | - |
dc.contributor.author | Kim, Min Hoon | - |
dc.date.accessioned | 2022-03-03T08:40:38Z | - |
dc.date.available | 2022-03-03T08:40:38Z | - |
dc.date.created | 2021-08-17 | - |
dc.date.issued | 2021-09 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/110309 | - |
dc.description.abstract | The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper structures in the smooth concordance group of topologically slice knots. We show that the graded quotient of the bipolar filtration of topologically slice knots has infinite rank at each stage greater than one. To detect nontrivial elements in the quotient, the proof simultaneously uses higher order amenable Cheeger-Gromov L-2 rho-invariants and infinitely many Heegaard Floer correction term d-invariants. (C) 2021 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | Academic Press | - |
dc.relation.isPartOf | Advances in Mathematics | - |
dc.title | The bipolar filtration of topologically slice knots | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.aim.2021.107868 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Advances in Mathematics, v.388 | - |
dc.identifier.wosid | 000677708900018 | - |
dc.citation.title | Advances in Mathematics | - |
dc.citation.volume | 388 | - |
dc.contributor.affiliatedAuthor | Cha, Jae Choon | - |
dc.identifier.scopusid | 2-s2.0-85110207036 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | FLOER HOMOLOGY | - |
dc.subject.keywordPlus | OZSVATH-SZABO | - |
dc.subject.keywordPlus | 4-BALL GENUS | - |
dc.subject.keywordPlus | CONCORDANCE | - |
dc.subject.keywordPlus | ORDER | - |
dc.subject.keywordPlus | INVARIANTS | - |
dc.subject.keywordPlus | OPERATORS | - |
dc.subject.keywordPlus | BOUNDS | - |
dc.subject.keywordPlus | LINKS | - |
dc.subject.keywordAuthor | Knot concordance | - |
dc.subject.keywordAuthor | Bipolar filtration | - |
dc.subject.keywordAuthor | Cheeger-Gromov invariants | - |
dc.subject.keywordAuthor | Heegaard Floer invariants | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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