{"id":130734,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/cohomologia-coefectiva-de-una-variedad-simplectica-homologia-canonica-de-una-variedad-de-poisson\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"cohomologia-coefectiva-de-una-variedad-simplectica-homologia-canonica-de-una-variedad-de-poisson","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/cohomologia-coefectiva-de-una-variedad-simplectica-homologia-canonica-de-una-variedad-de-poisson\/","title":{"rendered":"Cohomolog\u00eda coefectiva de una variedad simplectica. homolog\u00eda canonica de una variedad de poisson."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Raul Iba\u00f1ez Torres <\/strong><\/h2>\n<p>En esta memoria se abordan algunos problemas abiertos sobre variedades simplecticas y variedades de poisson.  los resultados obtenidos establecen nuevas diferencias geometricas y topologicas entre variedades kahler, variedades simplecticas y variedades de poisson.  th. Bouche, en el a\u00f1o 1990, demostro que para cualquier variedad compacta kahler m, de dimension 2n existe, para cada k n + i, un isomorfismo entre el grupo h k (a(m)) de cohomolog\u00eda coefectiva y el grupo h (m) de la rham truncado por la clase de la forma simplectica; y planteo la siguiente cuestion: ?Es posible extender dicho isomorfismo a las variedades compactas simplecticas? por otra parte, j.L. Brylinski, en un trabajo publicado en \u00abjournal of differential geometry\u00bb, 1988, introdujo un complejo doble para cualquier variedad de poisson; y propuso los dos problemas siguientes:  problema a: para una variedad compacta de poisson m, determinense condiciones que impliquen que cada clase de cohomolog\u00eda de rham de m tiene un representante que es armonico con respecto a la estructura de poisson (es decir, d alfa =  alfa=0, donde d, es la diferencial exterior de m y   es la diferencial de koszul).  problema b: para una variedad compacta de poisson, determinense condiciones que impliquen que la primera sucesion espectral degenera en el primer termino.  brylinski, en el citado trabajo, afirma que el problema a implica el problema b.  los dos ultimos capitulos de esta memoria, se dedican a estos dos problemas. De los resultados alli obtenidos se sigue que los problemas a y b tienen respuesta independiente.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Cohomolog\u00eda coefectiva de una variedad simplectica. homolog\u00eda canonica de una variedad de poisson.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Cohomolog\u00eda coefectiva de una variedad simplectica. homolog\u00eda canonica de una variedad de poisson. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Raul Iba\u00f1ez Torres <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Fernandez Rodriguez M. Luisa<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Martinez Naveira <\/li>\n<li>Manuel De Le\u00f3n Rodr\u00edguez (vocal)<\/li>\n<li>Angel Fernandez Izquierdo (vocal)<\/li>\n<li>Oscar Garay Bengoetxea (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Raul Iba\u00f1ez Torres En esta memoria se abordan algunos problemas abiertos sobre variedades simplecticas y variedades de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[583,127,128,126,12909],"tags":[121676,589,8249,3233,8250,62577],"class_list":["post-130734","post","type-post","status-publish","format-standard","hentry","category-geometria","category-geometria-de-riemann","category-geometria-diferencial","category-matematicas","category-pais-vasco-euskal-herriko-unibertsitatea","tag-angel-fernandez-izquierdo","tag-antonio-Martinez-naveira","tag-fernandez-rodriguez-m-luisa","tag-manuel-de-leon-rodriguez","tag-oscar-garay-bengoetxea","tag-raul-ibanez-torres"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/130734","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=130734"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/130734\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=130734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=130734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=130734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}