{"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":"\u51fa\u7248\u30bf\u30a4\u30d7","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_6_biblio_info_6":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","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":"\u6284\u9332","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":"\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"\u5f15\u7528","attribute_value_mlt":[{"subitem_description":"PACIFIC JOURNAL OF MATHEMATICS. 250(2):407-419 (2011)","subitem_description_type":"Other"}]},"item_6_link_3":{"attribute_name":"\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af","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":"\u51fa\u7248\u8005","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":"\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID","attribute_value_mlt":[{"subitem_source_identifier":"AA00767097","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sakai,  Keiichi"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"\u30d5\u30a1\u30a4\u30eb\u60c5\u5831","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":"\u30ad\u30fc\u30ef\u30fc\u30c9","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":"\u8a00\u8a9e","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7","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":"\u30bf\u30a4\u30c8\u30eb","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":["1169/1170"],"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":"2021-09-02T05:47:02.922394+00:00"}