{"created":"2021-03-01T06:59:38.004293+00:00","id":40063,"links":{},"metadata":{"_buckets":{"deposit":"0d598a7b-ed4d-4905-8c4c-78b49b383e01"},"_deposit":{"id":"40063","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40063"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040063","sets":["312:6865:6919:6927","9:504:6868:6921:6928"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-07-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"26","bibliographicPageStart":"1","bibliographicVolumeNumber":"17","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 define a local Riemann-Roch number for an open symplectic manifold when a completely integrable system without Bohr-Sommerfeld fiber is provided on its end. In particular when a structure of a singular Lagrangian fibration is given on a closed symplectic manifold, its Riemann-Roch number is described as the sum of the number of nonsingular Bohr-Sommerfeld fibers and a contribution of the singular fibers. A key step of the proof is formally explained as a version of Witten's deformation applied to a Hilbert bundle.","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":"53D50(MSC2000)"},{"subitem_text_value":"58J20(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2008-04-18"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Gakushuin University"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"},{"subitem_text_value":"Department of Mathematics, Graduate School of Science and Technology, Meiji University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Fujita, Hajime"}],"nameIdentifiers":[{"nameIdentifier":"92519","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Furuta, Mikio"}],"nameIdentifiers":[{"nameIdentifier":"92520","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Yoshida, Takahiko"}],"nameIdentifiers":[{"nameIdentifier":"92521","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":"jms170101.pdf","filesize":[{"value":"207.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms170101.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40063/files/jms170101.pdf"},"version_id":"71fe6b1f-846e-45a7-973e-22904f178d01"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Geometric quantization","subitem_subject_scheme":"Other"},{"subitem_subject":"index theory","subitem_subject_scheme":"Other"},{"subitem_subject":"localization","subitem_subject_scheme":"Other"}]},"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":"Torus Fibrations and Localization of Index I : Polarization and Acyclic Fibrations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Torus Fibrations and Localization of Index I : Polarization and Acyclic Fibrations"}]},"item_type_id":"4","owner":"1","path":["6927","6928"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-22"},"publish_date":"2012-10-22","publish_status":"0","recid":"40063","relation_version_is_last":true,"title":["Torus Fibrations and Localization of Index I : Polarization and Acyclic Fibrations"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:58.967781+00:00"}