KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE

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タイトル	KNOTS WITH HOPF CROSSING NUMBER AT MOST ONE
著者	Mroczkowski, Maciej 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].
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	57
号	2
開始ページ	279
終了ページ	304
刊行年月	2020-04
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/75915
言語	英語
DOI	info:doi/10.18910/75915
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）

著者版フラグ	publisher
NII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.57(2) P.279-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-04
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/75915
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	info:doi/10.18910/75915
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/75915
citation_doi	info:doi/10.18910/75915