{"created":"2023-06-20T16:48:38.336316+00:00","id":20638,"links":{},"metadata":{"_buckets":{"deposit":"1c5ceedf-c943-4380-8af6-2b391bf4c8ed"},"_deposit":{"created_by":3,"id":"20638","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"20638"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00020638","sets":["14:2667:4550"]},"author_link":["43153"],"control_number":"20638","item_8_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"4","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2018)"}]}]},"item_8_description_25":{"attribute_name":"リンクURL","attribute_value_mlt":[{"subitem_description":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05163/","subitem_description_type":"Other"}]},"item_8_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"研究成果の概要（和文）：(1)３次元球面内の絡み目は，デーン手術により３次元多様体上の巡回群作用の不動点集合となることを示した。また，３次元球面内の空間グラフの対称性が閉曲面を不動点集合とする対合で与えられるための条件を与えた。(2) ３次元多様体上の向き反転周期的微分同相が縮小化された特異集合を持つならば，３次元球面，２次元球面上の円周束，３次元トーラスのいずれかに周期性を反映する手術の記述が存在することを証明した。(3) 抽象グラフの対称性が４次直交群の有限部分群で与えられるとき，３次元球面上の線型作用のもとで集合として不変な空間埋め込みが存在するための条件を与えた。研究成果の概要（英文）：(1) We showed that a link in the 3-sphere is the fixed point set of a cyclic group action on a 3-manifold obtained by Dehn surgery, and gave a condition for a spatial graph in the 3-sphere to have a symmetry given by an involution with fixed point set being a closed surface. (2) We proved that an orientation-reversing periodic diffeomorphism on a 3-manifold with a reduced fixed point set has a surgery description in either the 3-sphere, the circle-bundle over the 2-sphere, or the 3-torus. (3) We gave a condition for an abstract graph with a symmetry given by a finite subgroup of the orthogonal group O(4) to admit a spatial embedding which is setwise invariant under the linear action on the three-dimensional sphere.","subitem_description_type":"Abstract"}]},"item_8_description_36":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究種目：基盤研究(C);  研究期間：2016～2018;   課題番号：16K05163;   研究分野：３次元多様体論;   科研費の分科・細目：","subitem_description_type":"Other"}]},"item_8_description_37":{"attribute_name":"資源タイプ(WEKO2)","attribute_value_mlt":[{"subitem_description":"Research Paper","subitem_description_type":"Other"}]},"item_8_description_41":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_publisher_14":{"attribute_name":"出版者 名前","attribute_value_mlt":[{"subitem_publisher":"近畿大学"}]},"item_8_text_10":{"attribute_name":"著者 役割","attribute_value_mlt":[{"subitem_text_value":"研究代表者"}]},"item_8_text_7":{"attribute_name":"著者(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"IKEDA, Toru"}]},"item_8_text_8":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"近畿大学理工学部; 教授"}]},"item_8_text_9":{"attribute_name":"著者所属(翻訳)","attribute_value_mlt":[{"subitem_text_value":"Kindai University"}]},"item_8_version_type_12":{"attribute_name":"版","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"池田, 徹"},{"creatorName":"イケダ, トオル","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"43153","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"00325408","nameIdentifierScheme":"NRID","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/search/?kw=00325408"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-03-12"}],"displaytype":"detail","filename":"16K05163seika.pdf","filesize":[{"value":"77.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"16K05163seika.pdf","url":"https://kindai.repo.nii.ac.jp/record/20638/files/16K05163seika.pdf"},"version_id":"d4ca4a9c-fb78-48f0-af23-30b1ffa834a2"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"３次元多様体","subitem_subject_scheme":"Other"},{"subitem_subject":"デーン手術","subitem_subject_scheme":"Other"},{"subitem_subject":"空間グラフ","subitem_subject_scheme":"Other"},{"subitem_subject":"対称性","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"３次元トポロジーによる空間グラフの対称性の研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"３次元トポロジーによる空間グラフの対称性の研究","subitem_title_language":"ja"},{"subitem_title":"Symmetries of spatial graphs by 3-manifold topology","subitem_title_language":"en"}]},"item_type_id":"8","owner":"3","path":["4550"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-03-12"},"publish_date":"2020-03-12","publish_status":"0","recid":"20638","relation_version_is_last":true,"title":["３次元トポロジーによる空間グラフの対称性の研究"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-09-15T04:10:25.950004+00:00"}