KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE

Mroczkowski, Maciej

Osaka Journal of Mathematics, 2020, 57(2), 279-304

アクセス数:106件（2025-07-12 19:37 集計）

固定URL: https://doi.org/10.18910/75915

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タイトル	KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE
著者	著者名 Mroczkowski, Maciej
抄録	We consider diagrams of links in S² obtained by projection from S³ with the Hopf map and the minimal crossing number for such diagrams. Knots admitting diagrams with at most one crossing are classified. Some properties of these knots are exhibited. In particular, we establish which of these knots are algebraic and, for such knots, give an answer to a problem posed by Fiedler in [3].
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(2)
ページ	279-304
刊行年月	2020-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/75915
DOI	https://doi.org/10.18910/75915
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 57, Number 2 （2020-4）

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. 2020, 57(2), p. 279-304
DC.title	KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE
DC.creator	Mroczkowski, Maciej
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	2020-04
DCTERMS.abstract	We consider diagrams of links in S² obtained by projection from S³ with the Hopf map and the minimal crossing number for such diagrams. Knots admitting diagrams with at most one crossing are classified. Some properties of these knots are exhibited. In particular, we establish which of these knots are algebraic and, for such knots, give an answer to a problem posed by Fiedler in [3].
DC.identifier	10.18910/75915
DC.format	75915
citation_title	KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE
citation_author	Mroczkowski, Maciej
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	2
citation_firstpage	279
citation_lastpage	304
citation_public_url	https://hdl.handle.net/11094/75915
citation_doi_detail	10.18910/75915
citation_doi	https://doi.org/10.18910/75915