{"created":"2021-03-01T06:14:38.975592+00:00","id":11751,"links":{},"metadata":{"_buckets":{"deposit":"1c6c57b7-835b-417e-ae4c-7afd12001520"},"_deposit":{"id":"11751","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11751"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011751","sets":["1169:1170"]},"author_link":["36019"],"item_1628147817048":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_6_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-04","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"419","bibliographicPageStart":"407","bibliographicVolumeNumber":"250","bibliographic_titles":[{"bibliographic_title":"PACIFIC JOURNAL OF MATHEMATICS"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Our main object of study is a certain degree-one cohomology class of the space K(3) of long knots in R(3). We describe this class in terms of graphs and configuration space integrals, showing the vanishing of some anomalous obstructions. To show that this class is not zero, we integrate it over a cycle studied by Gramain. As a corollary, we establish a relation between this class and (R-valued) Casson's knot invariant. These are R-versions of the results which were previously proved by Teiblyum, Turchin and Vassiliev over Z/2 in a different way from ours.","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":"PACIFIC JOURNAL OF MATHEMATICS. 250(2):407-419 (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":"Sakai, Keiichi","subitem_link_url":"http://soar-rd.shinshu-u.ac.jp/profile/ja.gCSVOakh.html"}]},"item_6_link_67":{"attribute_name":"WoS","attribute_value_mlt":[{"subitem_link_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000288996800008"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"PACIFIC JOURNAL MATHEMATICS"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.2140/pjm.2011.250.407"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.2140/pjm.2011.250.407","subitem_relation_type_select":"DOI"}}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0030-8730","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":"AA00767097","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sakai,  Keiichi"}],"nameIdentifiers":[{}]}]},"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","filename":"pjm-v250-n2-p08-p.pdf","filesize":[{"value":"296.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"pjm-v250-n2-p08-p.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11751/files/pjm-v250-n2-p08-p.pdf"},"version_id":"e1820c50-08be-4633-a14c-d787ce58c440"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"the space of long knots","subitem_subject_scheme":"Other"},{"subitem_subject":"configuration space integrals","subitem_subject_scheme":"Other"},{"subitem_subject":"nontrivalent graphs","subitem_subject_scheme":"Other"},{"subitem_subject":"an action of little cubes","subitem_subject_scheme":"Other"},{"subitem_subject":"Gramain cycles","subitem_subject_scheme":"Other"},{"subitem_subject":"Casson's knot invariant","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":"An integral expression of the first nontrivial one-cocycle of the space of long knots in R(3)","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"An integral expression of the first nontrivial one-cocycle of the space of long knots in R(3)","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2013-10-21"},"publish_date":"2013-10-21","publish_status":"0","recid":"11751","relation_version_is_last":true,"title":["An integral expression of the first nontrivial one-cocycle of the space of long knots in R(3)"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:11:33.892630+00:00"}