{"id":5197,"date":"2022-05-27T10:58:47","date_gmt":"2022-05-27T08:58:47","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=5197"},"modified":"2022-06-30T16:52:12","modified_gmt":"2022-06-30T14:52:12","slug":"slice-knots-knot-theory-in-dimension-4-paula-truol-eth-zurich","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/slice-knots-knot-theory-in-dimension-4-paula-truol-eth-zurich\/","title":{"rendered":"Slice knots: knot theory in dimension 4 &ndash; Paula Tru\u00f6l (ETH Z\u00fcrich)"},"content":{"rendered":"\n<p>Knot theory is a subarea of low-dimensional topology &#8211; the study of smooth manifolds of dimension 4 or less. Classical knots are smooth embeddings of the (oriented) circle $S^1$ into $\\mathbb{R}^3$ (or into the 3-sphere), usually studied up to an equivalence relation called ambient isotopy. The concept of &#8220;sliceness&#8221; is a (natural) generalization in dimension 4 of the question of whether certain knots are isotopic to the trivial knot (the so-called unknot). In the talk, we will define all the relevant terms and give examples of slice knots. Along the way, we will see some related important results from low-dimensional topology. For example, the study of slice knots is connected to the existence of &#8220;exotic&#8221; smooth structures on $\\mathbb{R}^4$.<\/p>\n\n\n\n<p>Further information is available on the <a href=\"http:\/\/people.dm.unipi.it\/babygeometri\/english\/_site\/index.html\">babygeometri website<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Knot theory is a subarea of low-dimensional topology &#8211; the study of smooth manifolds of dimension 4 or less. Classical knots are smooth embeddings of the (oriented) circle S^1 into R^3 (or into the 3-sphere), usually studied up to an equivalence relation called ambient isotopy.&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/slice-knots-knot-theory-in-dimension-4-paula-truol-eth-zurich\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-5197","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1654007400,"unipievents_enddate":1654011000,"unipievents_place":"Palazzo della Carovana, Aula Bianchi Lettere","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/5197","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/33"}],"version-history":[{"count":5,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/5197\/revisions"}],"predecessor-version":[{"id":5737,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/5197\/revisions\/5737"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=5197"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=5197"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=5197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}