{"_buckets": {"deposit": "3883758d-3cd9-419d-8152-161a051851d0"}, "_deposit": {"id": "11818", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11818"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011818", "sets": ["1170"]}, "author_link": ["36200"], "item_1628147817048": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_6_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011-12", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "6", "bibliographicPageEnd": "815", "bibliographicPageStart": "801", "bibliographicVolumeNumber": "29", "bibliographic_titles": [{"bibliographic_title": "DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS"}]}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Let F be a fibration on a simply-connected base with symplectic fiber (M, omega). Assume that the fiber is nilpotent and T(2k)-separable for some integer k or a nilmanifold. Then our main theorem, Theorem 1.8, gives a necessary and sufficient condition for the cohomology class vertical bar omega vertical bar to extend to a cohomology class of the total space of T. This allows us to describe Thurston\u0027s criterion for a symplectic fibration to admit a compatible symplectic form in terms of the classifying map for the underlying fibration. The obstruction due to Lalond and McDuff for a symplectic bundle to be Hamiltonian is also rephrased in the same vein. Furthermore, with the aid of the main theorem, we discuss a global nature of the set of the homotopy equivalence classes of fibrations with symplectic fiber in which the class vertical bar omega vertical bar is extendable.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "資源タイプ（コンテンツの種類）", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "引用", "attribute_value_mlt": [{"subitem_description": "DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. 29(6):801-815 (2011)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "信州大学研究者総覧へのリンク", "attribute_value_mlt": [{"subitem_link_text": "Kuribayashi, Katsuhiko", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html"}]}, "item_6_link_67": {"attribute_name": "WoS", "attribute_value_mlt": [{"subitem_link_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=000296932000009"}]}, "item_6_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "ELSEVIER SCIENCE BV"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1016/j.difgeo.2011.08.008"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1016/j.difgeo.2011.08.008", "subitem_relation_type_select": "DOI"}}]}, "item_6_select_64": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0926-2245", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0926-2245", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA10813099", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "Symplectic manifold; Sullivan model"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "RATIONAL HOMOTOPY; FUNCTION-SPACES; MINIMAL MODELS; BUNDLES; FIBER; NILMANIFOLDS; LOCALIZATION; FIBRATIONS"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "Let F be a fibration on a simply-connected base with symplectic fiber (M, omega). Assume that the fiber is nilpotent and T(2k)-separable for some integer k or a nilmanifold. Then our main theorem, Theorem 1.8, gives a necessary and sufficient condition for the cohomology class vertical bar omega vertical bar to extend to a cohomology class of the total space of T. This allows us to describe Thurston\u0027s criterion for a symplectic fibration to admit a compatible symplectic form in terms of the classifying map for the underlying fibration. The obstruction due to Lalond and McDuff for a symplectic bundle to be Hamiltonian is also rephrased in the same vein. Furthermore, with the aid of the main theorem, we discuss a global nature of the set of the homotopy equivalence classes of fibrations with symplectic fiber in which the class vertical bar omega vertical bar is extendable. (C) 2011 Elsevier B.V. All rights reserved."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Kuribayashi,  Katsuhiko"}], "nameIdentifiers": [{"nameIdentifier": "36200", "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": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "EXTENSIONS_SYMPLECTIC_CLASS.pdf", "filesize": [{"value": "178.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 178600.0, "url": {"label": "EXTENSIONS_SYMPLECTIC_CLASS.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11818/files/EXTENSIONS_SYMPLECTIC_CLASS.pdf"}, "version_id": "576f5c16-7b22-4a58-bd66-ad33a156507f"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Symplectic manifold", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Sullivan model", "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "On extensions of a symplectic class", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "On extensions of a symplectic class", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/16110", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2012-11-29"}, "publish_date": "2012-11-29", "publish_status": "0", "recid": "11818", "relation": {}, "relation_version_is_last": true, "title": ["On extensions of a symplectic class"], "weko_shared_id": -1}