{"id":211,"date":"2021-01-15T09:25:55","date_gmt":"2021-01-15T09:25:55","guid":{"rendered":"http:\/\/geometry.ulb.ac.be\/bowl\/?page_id=211"},"modified":"2021-02-23T07:48:02","modified_gmt":"2021-02-23T07:48:02","slug":"claude-lebrun-stonybrook","status":"publish","type":"page","link":"https:\/\/geometry.ulb.ac.be\/bowl\/claude-lebrun-stonybrook\/","title":{"rendered":"Claude LeBrun (Stonybrook)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Claude LeBrun will talk on 16th February at 1.45pm UK time, 2.45pm Brussels time. Claude&#8217;s title is <em>&#8220;Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian\u00a0Groups, and Almost-K\u00e4hler\u00a0Geometry&#8221; <\/em>and the abstract is below. Claude has <a href=\"http:\/\/www.math.stonybrook.edu\/~claude\/bowls.pdf\">kindly made his slides available<\/a>.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h4 class=\"wp-block-heading\">Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian&nbsp;Groups, and Almost-K\u00e4hler&nbsp;Geometry<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>It is known that the almost-K\u00e4hler anti-self-dual metrics on a given&nbsp;4-manifold sweep out an open subset in the moduli space of anti-self-dual metrics.&nbsp;However, we show by example that this subset is not&nbsp;generally closed, and does not always sweep out entire connected components in the moduli&nbsp;space. The construction hinges on an unexpected&nbsp;link between harmonic functions on certain hyperbolic 3-manifolds&nbsp;and self-dual harmonic 2-forms on&nbsp;associated 4-manifolds.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Claude LeBrun will talk on 16th February at 1.45pm UK time, 2.45pm Brussels time. Claude&#8217;s title is &#8220;Anti-Self-Dual 4-Manifolds, Quasi-Fuchsian\u00a0Groups, and Almost-K\u00e4hler\u00a0Geometry&#8221; and the abstract is below. Claude has kindly made his slides available.<\/p>\n","protected":false},"author":1,"featured_media":32,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":["post-211","page","type-page","status-publish","has-post-thumbnail","entry"],"featured_image_src":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Four-part-intersections-vase-by-rgieseking-600x400.jpg","featured_image_src_square":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Four-part-intersections-vase-by-rgieseking-600x600.jpg","_links":{"self":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/comments?post=211"}],"version-history":[{"count":4,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/211\/revisions"}],"predecessor-version":[{"id":234,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/211\/revisions\/234"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media\/32"}],"wp:attachment":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media?parent=211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}