{"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"},"item_7_alternative_title_1":{"attribute_name":"\u305d\u306e\u4ed6\u306e\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_alternative_title":"2\u6b21\u5143\u5186\u677f\u306e\u9762\u7a4d\u4fdd\u5b58\u5fae\u5206\u540c\u76f8\u7fa4\u4e0a\u306e\u64ec\u6e96\u540c\u578b"}]},"item_7_biblio_info_7":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-03-25","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_7_date_granted_25":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u5e74\u6708\u65e5","attribute_value_mlt":[{"subitem_dategranted":"2013-03-25"}]},"item_7_degree_grantor_23":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u6a5f\u95a2","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"University of Tokyo (\u6771\u4eac\u5927\u5b66)"}]}]},"item_7_degree_name_20":{"attribute_name":"\u5b66\u4f4d\u540d","attribute_value_mlt":[{"subitem_degreename":"\u535a\u58eb(\u6570\u7406\u79d1\u5b66)"}]},"item_7_description_5":{"attribute_name":"\u6284\u9332","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":"\u8457\u8005\u5225\u540d","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"11753","nameIdentifierScheme":"WEKO"}],"names":[{"name":"\u77f3\u7530, \u667a\u5f66"}]}]},"item_7_identifier_registration":{"attribute_name":"ID\u767b\u9332","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00005642","subitem_identifier_reg_type":"JaLC"}]},"item_7_select_21":{"attribute_name":"\u5b66\u4f4d","attribute_value_mlt":[{"subitem_select_item":"doctoral"}]},"item_7_text_22":{"attribute_name":"\u5b66\u4f4d\u5206\u91ce","attribute_value_mlt":[{"subitem_text_value":"Mathematical Sciences (\u6570\u7406\u79d1\u5b66)"}]},"item_7_text_24":{"attribute_name":"\u7814\u7a76\u79d1\u30fb\u5c02\u653b","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences (\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1)"}]},"item_7_text_4":{"attribute_name":"\u8457\u8005\u6240\u5c5e","attribute_value_mlt":[{"subitem_text_value":"\u6771\u4eac\u5927\u5b66\u5927\u5b66\u9662\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ishida, Tomohiko"}],"nameIdentifiers":[{"nameIdentifier":"11752","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"\u30d5\u30a1\u30a4\u30eb\u60c5\u5831","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":"\u8a00\u8a9e","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7","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":"\u30bf\u30a4\u30c8\u30eb","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":["312/391","9/233/280"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","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":"2021-03-01T16:25:25.697164+00:00"}