{"_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"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "We give a simple axiomatic definition of a rational-valued invariant \u03c3(W, V, e) of triples (W, V, e), where W \u2283 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 Poincar\u00e9 dual of a Seifert surface of V, the invariant coincides with -8 times Haefliger\u0027s embedding invariant of (S6, V). Our definition recovers a more general invariant due to Takase, and contains a new definition for Milnor\u0027s 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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "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": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2011-05-09"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Shibano Patent Office"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Moriyama, Tetsuhiro"}], "nameIdentifiers": [{"nameIdentifier": "92492", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms180204.pdf", "filesize": [{"value": "309.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 309700.0, "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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\u0027s Triple Linking Number", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "An Invariant of Embeddings of 3-Manifolds in 6-Manifolds and Milnor\u0027s Triple Linking Number"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6909/6915", "9/504/6868/6911/6916"], "permalink_uri": "http://hdl.handle.net/2261/52706", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2012-12-12"}, "publish_date": "2012-12-12", "publish_status": "0", "recid": "40043", "relation": {}, "relation_version_is_last": true, "title": ["An Invariant of Embeddings of 3-Manifolds in 6-Manifolds and Milnor\u0027s Triple Linking Number"], "weko_shared_id": null}