{"created":"2021-03-01T06:22:21.253169+00:00","id":5651,"links":{},"metadata":{"_buckets":{"deposit":"bb8778ea-abb3-4fa2-9684-3ee4d46d8d24"},"_deposit":{"id":"5651","owners":[],"pid":{"revision_id":0,"type":"depid","value":"5651"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00005651","sets":["312:391","9:233:280"]},"item_7_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"2次元円板の面積保存微分同相群上の擬準同型"}]},"item_7_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-03-25","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_7_date_granted_25":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2013-03-25"}]},"item_7_degree_grantor_23":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"University of Tokyo (東京大学)"}]}]},"item_7_degree_name_20":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(数理科学)"}]},"item_7_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Recently Gambaudo and Ghys proved that there exist infinitely many quasi-morphisms on the group ${\\rm Diff}_\\Omega^\\infty (D^2, \\partial D^2)$ of area-preserving diffeomorphisms of the 2-disk $D^2$. For the proof, they constructed a homomorphism from the space of quasi-morphisms on the braid group to the space of quasi-morphisms on ${\\rm Diff}_\\Omega^\\infty (D^2, \\partial D^2)$. In this paper, we study this homomorphism and prove its injectivity. We give several applications of our result to stable commutator length of some element of ${\\rm Diff}_\\Omega^\\infty (D^2, \\partial D^2)$ and conjugation-invariant norms on ${\\rm Diff}_\\Omega^\\infty (D^2, \\partial D^2)$.","subitem_description_type":"Abstract"}]},"item_7_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"11753","nameIdentifierScheme":"WEKO"}],"names":[{"name":"石田, 智彦"}]}]},"item_7_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00005642","subitem_identifier_reg_type":"JaLC"}]},"item_7_select_21":{"attribute_name":"学位","attribute_value_mlt":[{"subitem_select_item":"doctoral"}]},"item_7_text_22":{"attribute_name":"学位分野","attribute_value_mlt":[{"subitem_text_value":"Mathematical Sciences (数理科学)"}]},"item_7_text_24":{"attribute_name":"研究科・専攻","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences (数理科学研究科)"}]},"item_7_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"東京大学大学院数理科学研究科"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ishida, Tomohiko"}],"nameIdentifiers":[{"nameIdentifier":"11752","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":"2017-06-01"}],"displaytype":"detail","filename":"IshidaT_25_3_PhD_a.pdf","filesize":[{"value":"1.4 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"IshidaT_25_3_PhD_a.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/5651/files/IshidaT_25_3_PhD_a.pdf"},"version_id":"ebcef54a-263d-4f3e-97d5-64b8419e64e6"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"IshidaT_25_3_PhD_b.pdf","filesize":[{"value":"159.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"IshidaT_25_3_PhD_b.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/5651/files/IshidaT_25_3_PhD_b.pdf"},"version_id":"abb1fddf-90c6-481a-b686-9252065a6171"}]},"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":"thesis","resourceuri":"http://purl.org/coar/resource_type/c_46ec"}]},"item_title":"Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk"}]},"item_type_id":"7","owner":"1","path":["391","280"],"pubdate":{"attribute_name":"公開日","attribute_value":"2014-07-15"},"publish_date":"2014-07-15","publish_status":"0","recid":"5651","relation_version_is_last":true,"title":["Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk"],"weko_creator_id":"1","weko_shared_id":2},"updated":"2022-12-19T03:47:12.984223+00:00"}