{"created":"2021-03-01T06:59:36.700550+00:00","id":40044,"links":{},"metadata":{"_buckets":{"deposit":"6165a130-245f-4472-b17b-065a1a38013f"},"_deposit":{"id":"40044","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40044"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040044","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":"268","bibliographicPageStart":"239","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":"It is a natural consequence of fundamental properties of the Casson invariant that the Rokhlin invariant μ(M) of an amphichiral integral homology 3-sphere M vanishes. In this paper, we give a new direct proof of this vanishing property. For such an M, we construct a manifold pair (Y, Q) of dimensions 6 and 3 equipped with some additional structure (6-dimensional spin e-manifold), such that Q ≅ M ∐ M ∐ (-M), and (Y, Q) ≅ (-Y, -Q). We prove that (Y, Q) bounds a 7-dimensional spin e-manifold (Z, X) by studying the cobordism group of 6-dimensional spin e-manifolds and the Z/2-action on the two-point configuration space of M \\ {pt}. For any such (Z, X), the signature of X vanishes, and this implies μ(M) = 0. The idea of the construction of (Y, Q) comes from the definition of the Kontsevich-Kuperberg-Thurston invariant for rational homology 3-spheres.","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":"57M27(MSC2010)"},{"subitem_text_value":"57N70(MSC2010)"},{"subitem_text_value":"57R20(MSC2010)"},{"subitem_text_value":"55R80(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2011-05-19"}]},"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":"92493","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":"jms180205.pdf","filesize":[{"value":"232.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms180205.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40044/files/jms180205.pdf"},"version_id":"d6bafc51-3460-40a6-8cb1-3ad06e4d654d"}]},"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":"On the Vanishing of the Rokhlin Invariant","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the Vanishing of the Rokhlin Invariant"}]},"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":"40044","relation_version_is_last":true,"title":["On the Vanishing of the Rokhlin Invariant"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:56.921109+00:00"}