{"created":"2021-03-01T06:59:41.158103+00:00","id":40109,"links":{},"metadata":{"_buckets":{"deposit":"b0412e20-949d-4da2-8c9a-8b8d8121063e"},"_deposit":{"id":"40109","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40109"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040109","sets":["312:6865:6949:6957","9:504:6868:6951:6958"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-03-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"67","bibliographicPageStart":"31","bibliographicVolumeNumber":"14","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We show that for any torus knot $K(r,s)$, $|r|>s>0$, there is a family of taut foliations of the complement of $K(r,s)$, which realizes all boundary slopes in $(-\\infty, 1)$ when $r>0$, or $(-1,\\infty)$ when $r<0$. This theorem is proved by a construction of branched surfaces and laminations which are used in the Roberts paper~\\cite{RR01a}. Applying this construction to a fibered knot ${K}'$, we also show that there exists a family of taut foliations of the complement of the cable knot $K$ of ${K}'$ which realizes all boundary slopes in $(-\\infty,1)$ or $(-1,\\infty)$.  Further, we partially extend the theorem of Roberts to a link case.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"57(M25(MSC2000)"},{"subitem_text_value":"57R30(MSN2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2005-08-14"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nakae, Yasuharu"}],"nameIdentifiers":[{"nameIdentifier":"138683","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms140102.pdf","filesize":[{"value":"265.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms140102.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40109/files/jms140102.pdf"},"version_id":"d449f3e3-0369-4375-a004-84bcb09b5708"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Taut foliations of torus knot complements","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Taut foliations of torus knot complements"}]},"item_type_id":"4","owner":"1","path":["6957","6958"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-10-14"},"publish_date":"2008-10-14","publish_status":"0","recid":"40109","relation_version_is_last":true,"title":["Taut foliations of torus knot complements"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:13:33.770559+00:00"}