{"created":"2021-03-01T06:59:39.710824+00:00","id":40088,"links":{},"metadata":{"_buckets":{"deposit":"4e6c2f77-fa0d-4746-ad69-f07f74eb2d72"},"_deposit":{"id":"40088","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40088"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040088","sets":["312:6865:6939:6943","9:504:6868:6941:6944"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-12-22","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"409","bibliographicPageStart":"325","bibliographicVolumeNumber":"15","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Starting from ideas of Furuta, we develop a general formalism for the construction of cohomotopy invariants associated with a certain class of $S^1$-equivariant non-linear  maps between Hilbert bundles.   Applied to the Seiberg-Witten map, this formalism yields a new class of cohomotopy Seiberg-Witten invariants which have clear functorial properties with respect to diffeomorphisms of 4-manifolds.   Our invariants and the Bauer-Furuta classes are directly comparable for 4-manifolds with $b_1=0$; they are equivalent when $b_1=0$ and $b_+>1$, but are finer in the case $b_1=0$, $b_+=1$ (they detect the wall-crossing phenomena). We study fundamental properties of the new invariants in a very general framework. In particular we prove a universal cohomotopy invariant jump formula and a multiplicative property. The formalism applies to other gauge theoretical problems, e.g. to the theory of gauge theoretical (Hamiltonian) Gromov-Witten invariants","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"}]},"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_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"57R57(MSC2000)"},{"subitem_text_value":"55Q55(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2008-02-15"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Okonek, Christian"}],"nameIdentifiers":[{"nameIdentifier":"138656","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Teleman, Andrei"}],"nameIdentifiers":[{"nameIdentifier":"138657","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":"2017-06-27"}],"displaytype":"detail","filename":"jms150301.pdf","filesize":[{"value":"554.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms150301.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40088/files/jms150301.pdf"},"version_id":"58e8ddc0-edc2-452b-bdb9-8c488afca54d"}]},"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":"Cohomotopy invariants and the universal cohomotopy invariant jump formula","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Cohomotopy invariants and the universal cohomotopy invariant jump formula"}]},"item_type_id":"4","owner":"1","path":["6943","6944"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-12-23"},"publish_date":"2009-12-23","publish_status":"0","recid":"40088","relation_version_is_last":true,"title":["Cohomotopy invariants and the universal cohomotopy invariant jump formula"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:02.492050+00:00"}