{"created":"2023-11-08T01:37:59.052323+00:00","id":2000316,"links":{},"metadata":{"_buckets":{"deposit":"b5f08f3c-4e4a-4b56-affd-22642cb84184"},"_deposit":{"created_by":42,"id":"2000316","owners":[42],"pid":{"revision_id":0,"type":"depid","value":"2000316"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:02000316","sets":["14:2667:1697004343623"]},"author_link":[],"item_1693378692288":{"attribute_name":"研究協力者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"34428","affiliationNameIdentifierScheme":"kakenhi"}],"affiliationNames":[{"affiliationName":"摂南大学","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"中津, 了勇","creatorNameLang":"ja"},{"creatorName":"Nakatsu, Toshio","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"10281502","nameIdentifierScheme":"e-Rad"}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"32642","affiliationNameIdentifierScheme":"kakenhi"}],"affiliationNames":[{"affiliationName":"津田塾大学","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"中屋敷, 厚","creatorNameLang":"ja"},{"creatorName":"Nakayashiki, Atsushi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"10237456","nameIdentifierScheme":"e-Rad"}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"32689","affiliationNameIdentifierScheme":"kakenhi"}],"affiliationNames":[{"affiliationName":"早稲田大学","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"池田, 岳","creatorNameLang":"ja"},{"creatorName":"Ikeda, Takashi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"40309539","nameIdentifierScheme":"e-Rad"}]}]},"item_1693381679919":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"report","resourceuri":"http://purl.org/coar/resource_type/c_93fc"}]},"item_30001_bibliographic_information17":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicNumberOfPages":"9","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2022)","bibliographic_titleLang":"ja"}]}]},"item_30001_creator2":{"attribute_name":"研究代表者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"34419","affiliationNameIdentifierScheme":"kakenhi"}],"affiliationNames":[{"affiliationName":"近畿大学","affiliationNameLang":"ja"},{"affiliationName":"Kindai University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"高崎, 金久","creatorNameLang":"ja"},{"creatorName":"TAKASAKI, Kanehisa","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"40171433","nameIdentifierScheme":"e-Rad"}]}]},"item_30001_description8":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"グロモフ-ウィッテン不変量は可積分階層の研究の豊かな源である．その主要な成果はDubrovin-Zhang理論とGivental理論によってもたらされてきた．今回の研究では格子KP階層や戸田階層とそれらのさまざまな簡約系に関係する場合に焦点を絞った．具体的には，リーマン球面のフルヴィッツ数・グロモフ-ウィッテン不変量ならびに安定曲線のモジュライ空間上のホッジ積分を考察し，その可積分構造として，ヴォルテラ型可積分系，同変戸田階層，格子ゲルファント-ディキー階層，一般化ILW階層が現れることを見出した．これらの可積分階層が従来の可積分階層にないさまざまな特徴を見せることもわかった．","subitem_description_language":"ja","subitem_description_type":"Abstract"},{"subitem_description":"The Gromov-Witten invariants are a rich source of studies on integrable hierarchies. Major progress therein has been achieved by the Dubrovin-Zhang theory and the Givental theory. The present research is focused on the cases that are related to the lattice P and Toda hierarchies and various reductions thereof. To be more precise, we have considered the Hurwitz numbers and the Gromov-Witten invariants of the Riemann sphere and the Hodge integrals on the moduli space of stable curves, and found that the Volterra-type hierarchies, the equivariant Toda hierarchy, the lattice Gelfand-Dickey hierarchy and the generalized ILW hierarchy show up as the integrable structures of these geometric objects. Moreover, these integrable hierarchies urn out to possess many novel features.","subitem_description_language":"en","subitem_description_type":"Abstract"},{"subitem_description":"研究分野：代数解析，数理物理","subitem_description_language":"ja","subitem_description_type":"Other"}]},"item_30001_file22":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","filename":"18K03350seika.pdf","format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://kindai.repo.nii.ac.jp/record/2000316/files/18K03350seika.pdf"},"version_id":"b833d516-772e-42a5-8a94-cb56c45ec8f5"}]},"item_30001_funding_reference15":{"attribute_name":"助成情報","attribute_value_mlt":[{"subitem_award_numbers":{"subitem_award_number":"18K03350","subitem_award_uri":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03350/"},"subitem_award_titles":[{"subitem_award_title":"Gromov-Witten不変量に関連する可積分階層","subitem_award_title_language":"ja"},{"subitem_award_title":"Integrable hierarchies related to Gromov-Witten invariants","subitem_award_title_language":"en"}],"subitem_funder_names":[{"subitem_funder_name":"独立行政法人日本学術振興会","subitem_funder_name_language":"ja"},{"subitem_funder_name":"Japan Society for the Promotion of Science","subitem_funder_name_language":"en"}]}]},"item_30001_language10":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_30001_subject7":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"グロモフ-ウィッテン不変量","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"可積分階層","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Dubrovin-Zhang理論","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Givental理論","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"格子KP階層","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"戸田階層","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"フルヴィッツ数","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"ホッジ積分","subitem_subject_language":"ja","subitem_subject_scheme":"Other"}]},"item_30001_title0":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Gromov-Witten不変量に関連する可積分階層","subitem_title_language":"ja"},{"subitem_title":"Integrable hierarchies related to Gromov-Witten invariants","subitem_title_language":"en"}]},"item_30001_version_type12":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_title":"Gromov-Witten不変量に関連する可積分階層","item_type_id":"40001","owner":"42","path":["1697004343623"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-11-08"},"publish_date":"2023-11-08","publish_status":"0","recid":"2000316","relation_version_is_last":true,"title":["Gromov-Witten不変量に関連する可積分階層"],"weko_creator_id":"42","weko_shared_id":-1},"updated":"2024-10-23T00:49:20.295971+00:00"}