{"created":"2021-03-01T06:59:36.633468+00:00","id":40043,"links":{},"metadata":{"_buckets":{"deposit":"b5b465c4-5bca-42a4-bbfc-55fef475cc10"},"_deposit":{"id":"40043","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40043"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040043","sets":["312:6865:6909:6915","9:504:6868:6911:6916"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-12-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"237","bibliographicPageStart":"193","bibliographicVolumeNumber":"18","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We give a simple axiomatic definition of a rational-valued invariant σ(W, V, e) of triples (W, V, e), where W ⊃ V are smooth oriented closed manifolds of dimensions 6 and 3, and e is a second rational cohomology class of the complement W \\ V satisfying a certain condition. The definition is stated in terms of cobordisms of such triples and the signature of 4-manifolds. When W = S6 and V is a smoothly embedded 3-sphere, and when e/2 is the Poincaré dual of a Seifert surface of V, the invariant coincides with -8 times Haefliger's embedding invariant of (S6, V). Our definition recovers a more general invariant due to Takase, and contains a new definition for Milnor's triple linking number of algebraically split 3-component links in R3 that is close to the one given by the perturbative series expansion of the Chern-Simons theory of links in R3.","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_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"57R40(MSC2010)"},{"subitem_text_value":"57M27(MSC2010)"},{"subitem_text_value":"57R52(MSC2010)"},{"subitem_text_value":"57M25(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2011-05-09"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Shibano Patent Office"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Moriyama, Tetsuhiro"}],"nameIdentifiers":[{"nameIdentifier":"92492","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":"2017-06-14"}],"displaytype":"detail","filename":"jms180204.pdf","filesize":[{"value":"309.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms180204.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40043/files/jms180204.pdf"},"version_id":"23912a8c-3aac-49be-9073-eb620f392485"}]},"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":"An Invariant of Embeddings of 3-Manifolds in 6-Manifolds and Milnor's Triple Linking Number","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"An Invariant of Embeddings of 3-Manifolds in 6-Manifolds and Milnor's Triple Linking Number"}]},"item_type_id":"4","owner":"1","path":["6915","6916"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-12-12"},"publish_date":"2012-12-12","publish_status":"0","recid":"40043","relation_version_is_last":true,"title":["An Invariant of Embeddings of 3-Manifolds in 6-Manifolds and Milnor's Triple Linking Number"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:57.095117+00:00"}