COMMENSURABILITY OF LINK COMPLEMENTS

Yoshida, Han

Osaka Journal of Mathematics, 2017, 54(4), 635-645

アクセス数:95件（2025-03-14 02:50 集計）

固定URL: https://doi.org/10.18910/67004

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm54_04_635	pdf	なし	1.43 MB	78	2017.11.06

タイトル	COMMENSURABILITY OF LINK COMPLEMENTS
著者	著者名 Yoshida, Han
内容	Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthday
抄録	In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements have the same volume, trace field, Bloch invariant, and cusp parameters up to PGL(2,ℚ). In this paper, we show that these link complements are incommensurable to each other. We use horoball packing to prove this.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	54(4)
ページ	635-645
刊行年月	2017-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/67004
DOI	https://doi.org/10.18910/67004
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 54, Number 4 （2017-10）

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. 2017, 54(4), p. 635-645
DC.title	COMMENSURABILITY OF LINK COMPLEMENTS
DC.creator	Yoshida, Han
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	2017-10
DC.description	Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthday
DCTERMS.abstract	In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements have the same volume, trace field, Bloch invariant, and cusp parameters up to PGL(2,ℚ). In this paper, we show that these link complements are incommensurable to each other. We use horoball packing to prove this.
DC.identifier	10.18910/67004
DC.format	67004
citation_title	COMMENSURABILITY OF LINK COMPLEMENTS
citation_author	Yoshida, Han
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2017-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	4
citation_firstpage	635
citation_lastpage	645
citation_public_url	https://hdl.handle.net/11094/67004
citation_doi_detail	10.18910/67004
citation_doi	https://doi.org/10.18910/67004