{"id":51,"date":"2004-07-06T12:38:55","date_gmt":"2004-07-06T16:38:55","guid":{"rendered":"http:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=51"},"modified":"2004-07-06T12:38:55","modified_gmt":"2004-07-06T16:38:55","slug":"twisted-k-theory","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=51","title":{"rendered":"Twisted K-theory"},"content":{"rendered":"<p>Michael Atiyah and Graeme Segal have a new <A href=\"http:\/\/www.arxiv.org\/abs\/math.KT\/0407054\">foundational paper<\/A> out on twisted K-theory. It doesn&#8217;t have too many examples or applications, but lays a rigorous foundation for a certain point of view on the subject.  Section 5 is the one quantum field theorists should pay attention to, it explains the relation to the fermionic Fock space.  For a more explicit construction relating QFT to twisted K-theory,  besides the papers of Freed, Hopkins and Teleman, one can look at <A href=\"http:\/\/www.arxiv.org\/abs\/hep-th\/0206139\">&#8220;Gerbes, (twisted) K-theory, and the supersymmetric WZW model&#8221;<\/A> by Jouko Mickelsson.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Michael Atiyah and Graeme Segal have a new foundational paper out on twisted K-theory. It doesn&#8217;t have too many examples or applications, but lays a rigorous foundation for a certain point of view on the subject. Section 5 is the &hellip; <a href=\"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=51\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/51","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=51"}],"version-history":[{"count":0,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/51\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=51"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=51"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=51"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}