{"id":1490,"date":"2023-05-11T15:15:16","date_gmt":"2023-05-11T07:15:16","guid":{"rendered":"https:\/\/blog.vanabel.cn\/blog\/2023\/05\/11\/title-classicfication-theory-authors-abel-milor-categories-math\/"},"modified":"2023-05-14T00:35:43","modified_gmt":"2023-05-13T16:35:43","slug":"title-classicfication-theory-authors-abel-milor-categories-math","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1490","title":{"rendered":"Title Classicfication Theory Authors Abel Milor Categories math&#8230;"},"content":{"rendered":"<p>Title: Classicfication Theory<br \/>\nAuthors: Abel Milor<br \/>\nCategories: math.DG math.GR<br \/>\nComments: Master thesis. 69 pages, 8 figures<br \/>\n\\\\<br \/>\n After introducing the simplicial manifolds, such as the different ways of<br \/>\ndefining the differential forms on them, we summarized a canonical way of<br \/>\ncalculating the characteristic classes of a $G$-principal bundle by computing<br \/>\nthem on the classifying bundle $EG\\longrightarrow BG$. Finally, we calculated<br \/>\nthe first Pontryagin class on the classifying bundle of the Lie matrix groups<br \/>\nand showed that for certain of them, the computed form is equal to the<br \/>\nsymplectic form on $BG$ given by some authors up to a constant coefficient.<br \/>\n\\\\ ( https:\/\/arxiv.org\/abs\/2305.06282 ,  442kb)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title: Classicfication Theory Authors: Abel Milor Categ&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=1490\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">Title Classicfication Theory Authors Abel Milor Categories math&#8230;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"status","meta":{"footnotes":""},"categories":[248],"tags":[245,246,247],"class_list":["post-1490","post","type-post","status-publish","format-status","hentry","category-arxiv","tag-characteristic-classes","tag-pontryagin-class","tag-symplectic-form","post_format-post-format-status","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1490"}],"version-history":[{"count":1,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1490\/revisions"}],"predecessor-version":[{"id":1491,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1490\/revisions\/1491"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1490"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1490"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}