{"id":1574,"date":"2012-03-16T14:21:10","date_gmt":"2012-03-16T13:21:10","guid":{"rendered":"http:\/\/blogs.scienceforums.net\/ajb\/?p=1574"},"modified":"2012-03-16T14:21:10","modified_gmt":"2012-03-16T13:21:10","slug":"odd-jacobi-manifolds-general-theory-and-applications-to-generalised-lie-algebroids-2","status":"publish","type":"post","link":"http:\/\/blogs.scienceforums.net\/ajb\/2012\/03\/16\/odd-jacobi-manifolds-general-theory-and-applications-to-generalised-lie-algebroids-2\/","title":{"rendered":"Odd Jacobi manifolds: general theory and applications to  generalised Lie algebroids"},"content":{"rendered":"<table border=\"0\">\n<tbody>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/farm1.static.flickr.com\/158\/358365339_5c884a527b_m.jpg\" alt=\"\" width=\"125\" \/><\/td>\n<td style=\"vertical-align: top\">\n<p>My paper &#8220;Odd Jacobi manifolds: general theory and applications to  generalised Lie algebroids&#8221; has been accepted for publication in  <a href=\"http:\/\/www1.unex.es\/eweb\/extracta\/\" target=\"_blank\">Extracta Mathematicae<\/a>.<\/p>\n<p>The paper is an amalgimation of three preprints: <\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a href=\"http:\/\/arxiv.org\/abs\/1111.4044\" target=\"_blank\">arXiv:1111.4044v3<\/a>, <a href=\"http:\/\/arxiv.org\/abs\/1103.1803\" target=\"_blank\">arXiv:1103.1803v1<\/a> and <a href=\"http:\/\/arxiv.org\/abs\/1101.1844\" target=\"_blank\">arXiv:1101.1844v3<\/a>.  <\/p>\n<p><strong>Abstract<\/strong><\/p>\n<p>In this paper we define  a Grassmann odd analogue of  Jacobi structure on a  supermanifold. The basic properties are explored. The  construction of odd Jacobi manifolds is then used to reexamine the notion of a Jacobi algebroid. It is shown that Jacobi algebroids can be understood in terms of a kind of <em>curved <\/em>Q-manifold, which we will refer to as a quasi Q-manifold.\n<\/p>\n<p>I will post more details in due course.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>My paper &#8220;Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids&#8221; has been accepted for publication in Extracta Mathematicae. The paper is an amalgimation of three preprints: arXiv:1111.4044v3, arXiv:1103.1803v1 and arXiv:1101.1844v3. Abstract In this paper we define a Grassmann odd analogue of Jacobi structure on a supermanifold. The basic properties are explored. The &hellip; <a href=\"http:\/\/blogs.scienceforums.net\/ajb\/2012\/03\/16\/odd-jacobi-manifolds-general-theory-and-applications-to-generalised-lie-algebroids-2\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Odd Jacobi manifolds: general theory and applications to  generalised Lie algebroids<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-1574","post","type-post","status-publish","format-standard","hentry","category-research-work"],"_links":{"self":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts\/1574","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/comments?post=1574"}],"version-history":[{"count":0,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts\/1574\/revisions"}],"wp:attachment":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/media?parent=1574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/categories?post=1574"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/tags?post=1574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}