{"_buckets": {"deposit": "d8385282-a817-4eae-839b-5d091835467b"}, "_deposit": {"id": "11821", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11821"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011821", "sets": ["1170"]}, "author_link": ["36211"], "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": "2012", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "840", "bibliographicPageStart": "801", "bibliographicVolumeNumber": "14", "bibliographic_titles": [{"bibliographic_title": "JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY"}]}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "For a real central arrangement A, Salvetti introduced a construction of a finite complex Sal(A) which is homotopy equivalent to the complement of the complexified arrangement in [Sal87]. For the braid arrangement A(k-1), the Salvetti complex Sal(A(k-1)) serves as a good combinatorial model for the homotopy type of the configuration space F(C, k) of k points in C, which is homotopy equivalent to the space C-2(k) of k little 2-cubes. Motivated by the importance of little cubes in homotopy theory, especially in the study of iterated loop spaces, we study how the combinatorial structure of the Salvetti complexes of the braid arrangements is related to homotopy-theoretic properties of iterated loop spaces. We prove that the skeletal filtrations on the Salvetti complexes of the braid arrangements give rise to the cobar-type Eilenberg-Moore spectral sequence converging to the homology of Omega(2)Sigma X-2. We also construct a new spectral sequence that computes the homology of Omega(l)Sigma X-l for l \u003e 2 by using a higher order analogue of the Salvetti complex. The E-1-term of the spectral sequence is described in terms of the homology of X. The spectral sequence is different from known spectral sequences that compute the homology of iterated loop spaces, such as the Eilenberg-Moore spectral sequence and the spectral sequence studied by Ahearn and Kuhn in [AK02].", "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": "JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. 14(3):801-840 (2012)", "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": "Tamaki, Dai", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.OafeOUkh.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=000304575800007"}]}, "item_6_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "EUROPEAN MATHEMATICAL SOC"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.4171/JEMS/319"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.4171/JEMS/319", "subitem_relation_type_select": "DOI"}}]}, "item_6_rights_62": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Copyright© 2012 EMS Publishing House. All rights reserved."}]}, "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": "1435-9855", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1435-9855", "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": "AA11470522", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "ITERATED LOOP-SPACES; SPECTRAL SEQUENCE; HOMOLOGY; HYPERPLANES"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "For a real central arrangement A, Salvetti introduced a construction of a finite complex Sal(A) which is homotopy equivalent to the complement of the complexified arrangement in [Sal87]. For the braid arrangement A(k-1), the Salvetti complex Sal(A(k-1)) serves as a good combinatorial model for the homotopy type of the configuration space F(C, k) of k points in C, which is homotopy equivalent to the space C-2(k) of k little 2-cubes. Motivated by the importance of little cubes in homotopy theory, especially in the study of iterated loop spaces, we study how the combinatorial structure of the Salvetti complexes of the braid arrangements is related to homotopy-theoretic properties of iterated loop spaces. We prove that the skeletal filtrations on the Salvetti complexes of the braid arrangements give rise to the cobar-type Eilenberg-Moore spectral sequence converging to the homology of Omega(2)Sigma X-2. We also construct a new spectral sequence that computes the homology of Omega(l)Sigma X-l for l \u003e 2 by using a higher order analogue of the Salvetti complex. The E-1-term of the spectral sequence is described in terms of the homology of X. The spectral sequence is different from known spectral sequences that compute the homology of iterated loop spaces, such as the Eilenberg-Moore spectral sequence and the spectral sequence studied by Ahearn and Kuhn in [AK02]."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Tamaki,  Dai"}], "nameIdentifiers": [{"nameIdentifier": "36211", "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": "Salvetti.pdf", "filesize": [{"value": "297.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 297600.0, "url": {"label": "Salvetti.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11821/files/Salvetti.pdf"}, "version_id": "5af2cc95-5e1f-4b5f-8be0-558908dae17a"}]}, "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 Salvetti complex and the little cubes", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "The Salvetti complex and the little cubes", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/16097", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2012-11-27"}, "publish_date": "2012-11-27", "publish_status": "0", "recid": "11821", "relation": {}, "relation_version_is_last": true, "title": ["The Salvetti complex and the little cubes"], "weko_shared_id": -1}