{"created":"2021-03-01T06:59:55.481333+00:00","id":40319,"links":{},"metadata":{"_buckets":{"deposit":"8dc34c5d-3258-4b58-b087-0ec0b632dbaf"},"_deposit":{"id":"40319","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40319"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040319","sets":["312:6865:7055:7056","9:504:6868:7057:7058"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1996","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"744","bibliographicPageStart":"723","bibliographicVolumeNumber":"3","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":"Let $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a hyperbolic knot $K$. A method to compute the volume and the Chern-Simons invariant of $M_n(K)$ is given. The value of the volume of $M_n$ is $n$ times the value of the volume of the corresponding hyperbolic orbifold. This volume can be obtained by appying the Schlaffli Formula for the volume to the cone-manifold family, $(K,α )$, with singularity $K$. The same approch is followed for the Chern-Simons invariant, after proving a \"\"Schlaffli Formula\"\" for a generalized Chern-Simons function on the family of cone-manifold structures $(K,α )$.","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":"MR1432115"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"57M50(MSC1991)"},{"subitem_text_value":"51M10(MSC1991)"},{"subitem_text_value":"51M25(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1996-04-08"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hilden, Hugh M."}],"nameIdentifiers":[{"nameIdentifier":"138916","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":"jms030310.pdf","filesize":[{"value":"185.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms030310.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40319/files/jms030310.pdf"},"version_id":"8b72dd7f-bb4b-448e-9ccf-8923ee4923d5"}]},"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 Volumes and Chern-Simons Invariants of Geometric 3-Manifolds","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds"}]},"item_type_id":"4","owner":"1","path":["7056","7058"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40319","relation_version_is_last":true,"title":["On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:34.983517+00:00"}