L²-BURAU MAPS AND L²-ALEXANDER TORSIONS

Ben Aribi, Fathi; Conway, Anthony

Osaka Journal of Mathematics, 2018, 55(3), 529-545

アクセス数:90件（2025-03-14 04:27 集計）

固定URL: https://doi.org/10.18910/70086

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タイトル	L²-BURAU MAPS AND L²-ALEXANDER TORSIONS
著者	著者名 Ben Aribi, Fathi
著者	著者名 Conway, Anthony
抄録	It is well known that the Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define L²-Burau maps and use them to compute some L²-Alexander torsions of links. As an application, we prove that the L²-Burau maps distinguish more braids than the Burau representation.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(3)
ページ	529-545
刊行年月	2018-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/70086
DOI	https://doi.org/10.18910/70086
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 55, Number 3 （2018-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2018, 55(3), p. 529-545
DC.title	L²-BURAU MAPS AND L²-ALEXANDER TORSIONS
DC.creator	Ben Aribi, Fathi
DC.creator	Conway, Anthony
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2018-07
DCTERMS.abstract	It is well known that the Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define L²-Burau maps and use them to compute some L²-Alexander torsions of links. As an application, we prove that the L²-Burau maps distinguish more braids than the Burau representation.
DC.identifier	10.18910/70086
DC.format	70086
citation_title	L²-BURAU MAPS AND L²-ALEXANDER TORSIONS
citation_author	Ben Aribi, Fathi
citation_author	Conway, Anthony
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	3
citation_firstpage	529
citation_lastpage	545
citation_public_url	https://hdl.handle.net/11094/70086
citation_doi_detail	10.18910/70086
citation_doi	https://doi.org/10.18910/70086