{"created":"2022-10-25T07:34:37.269276+00:00","id":2005799,"links":{},"metadata":{"_buckets":{"deposit":"8e753017-38f7-45ec-a6a1-7ecdb532e0ce"},"_deposit":{"id":"2005799","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2005799"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:02005799","sets":["312:6865:1655967292942:1666682650014","9:504:6868:1655967130305:1666682516781"]},"author_link":[],"control_number":"2005799","item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-10-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"639","bibliographicPageStart":"593","bibliographicVolumeNumber":"28","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo","bibliographic_titleLang":"en"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The Hitchin component $H_n(S)$ is a special component of the ${\\rm PSL}_n\\mathbb{R}$-character variety of a closed surface $S$ of genus $g \\geq 2$ which contains the discrete faithful representations $\\pi_1(S) \\rightarrow {\\rm PSL}_2\\mathbb{R}$ via an irreducible representation. Bonahon-Dreyer (\\cite{BD14}, \\cite{BD17}) gave a parameterization of $H_n(S)$ by the triangle invariants and the shearing-type invariants fixing an arbitrary maximal geodesic lamination on $S$, so that the Hitchin component is a cone in a Euclidean space.\nThe images of discrete faithful representations $\\pi_1(S) \\rightarrow {\\rm PSL}_2\\mathbb{R}$ in $H_n(S)$ are called $\\PSL_n\\R$-Fuchsian representations. In this paper we characterize the $\\PSL_n\\R$-Fuchsian representations of the Hitchin component in the Bonahon-Dreyer coordinates. In particular this explicit characterization implies the set of the $\\PSL_n\\R$-Fuchsian representations is an affine slice. We also discuss the case when $S$ has boundary.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo","subitem_publisher_language":"en"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"57N16(MSC2010)"},{"subitem_text_language":"en","subitem_text_value":"22E40(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2020-07-28"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Graduate School of Science, Osaka University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Osaka University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Inagaki, Yusuke","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"date":[{"dateType":"Available","dateValue":"2022-10-25"}],"displaytype":"detail","filename":"jms280403.pdf","filesize":[{"value":"338.9 KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/2005799/files/jms280403.pdf"},"version_id":"2f9d7481-b063-4ddf-addb-7fb32646c7e5"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Hitchin components","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Teichm\\\"uller spaces","subitem_subject_language":"en","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Invariants of\\/ {\\large${\\rm PSL}_n\\mathbb{R}$}-Fuchsian Representations\\\\ and a Slice of Hitchin Components","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Invariants of\\/ {\\large${\\rm PSL}_n\\mathbb{R}$}-Fuchsian Representations\\\\ and a Slice of Hitchin Components","subitem_title_language":"en"}]},"item_type_id":"4","owner":"1","path":["1666682650014","1666682516781"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-10-25"},"publish_date":"2022-10-25","publish_status":"0","recid":"2005799","relation_version_is_last":true,"title":["Invariants of\\/ {\\large${\\rm PSL}_n\\mathbb{R}$}-Fuchsian Representations\\\\ and a Slice of Hitchin Components"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-19T05:40:03.084840+00:00"}