{"created":"2021-03-01T07:17:28.637352+00:00","id":38307,"links":{},"metadata":{"_buckets":{"deposit":"60e62c82-266e-4b01-9697-2f112c994784"},"_deposit":{"id":"38307","owners":[],"pid":{"revision_id":0,"type":"depid","value":"38307"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00038307","sets":["117:1930","3:62:5602:1663"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-04","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"182","bibliographicPageStart":"160","bibliographicVolumeNumber":"202","bibliographic_titles":[{"bibliographic_title":"Topology and its applications "}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"丹下, 基生"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We define topological invariants of homology 3-sphere, dsds and View the MathML sourceds_, which are the maximal and minimal second Betti number divided by 8 among definite spin boundings of the homology sphere. We also define similar invariants g8g8 and View the MathML sourceg8_ by the maximal (or minimal) product sum of the quadratic form E8E8 of bounding 4-manifolds. The aim of these invariants is to measure the size of bounding definite spin 4-manifold. We give several ways to construct definite spin boundings. In particular, we construct uncommon E8E8-boundings for Σ(2,3,12n+5)Σ(2,3,12n+5) by using handle decomposition. As a by-product of this construction, we show that some negative 2nd homology classes k[f]−[s]k[f]−[s] in E(1)E(1) are represented by a sphere, where f and s   are a fiber and sectional class of E(1)E(1).","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":" Elsevier  "}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.topol.2015.12.067","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ "}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0166-8641 ","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00459572","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tange, Motoo"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-05-01"}],"displaytype":"detail","filename":"TIA_202-160.pdf","filesize":[{"value":"288.5 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"TIA_202-160","url":"https://tsukuba.repo.nii.ac.jp/record/38307/files/TIA_202-160.pdf"},"version_id":"37ddf64d-6ec2-4ba1-a1eb-70855ae5da74"}]},"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":"The E8-boundings of homology spheres and negative sphere classes in E(1)","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The E8-boundings of homology spheres and negative sphere classes in E(1)"}]},"item_type_id":"5","owner":"1","path":["1930","1663"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-06-20"},"publish_date":"2016-06-20","publish_status":"0","recid":"38307","relation_version_is_last":true,"title":["The E8-boundings of homology spheres and negative sphere classes in E(1)"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:08:04.608529+00:00"}