{"id":20591,"date":"2018-03-09T09:09:59","date_gmt":"2018-03-09T09:09:59","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teorias-de-homologa%c2%ada-y-cohomologa%c2%ada-para-variedades-de-jacobi-nambu-poisson-y-nambu-jacobi\/"},"modified":"2018-03-09T09:09:59","modified_gmt":"2018-03-09T09:09:59","slug":"teorias-de-homologa%c2%ada-y-cohomologa%c2%ada-para-variedades-de-jacobi-nambu-poisson-y-nambu-jacobi","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/la-laguna\/teorias-de-homologa%c2%ada-y-cohomologa%c2%ada-para-variedades-de-jacobi-nambu-poisson-y-nambu-jacobi\/","title":{"rendered":"Teor\u00edas de homolog\u00eda y cohomolog\u00eda para variedades de jacobi, nambu-poisson y nambu-jacobi"},"content":{"rendered":"<h2>Tesis doctoral de <strong> M. Bel\u00e9n L\u00f3pez Brito <\/strong><\/h2>\n<p>En esta memoria se hace un estudio sistem\u00e1tico y profundo de ciertas teor\u00edas de homolog\u00eda y cohomolog\u00eda para algunas variedades interesantes para la f\u00edsica como son las variedades de jacobi, nambu-poisson y nambu-jacobi. la memoria est\u00e1 dividida en dos partes perfectamente diferenciadas.  la primera parte (los 4 primeros cap\u00edtulos) est\u00e1 dedicada esencialmente al estudio de la homolog\u00eda (respectivamente, cohomolog\u00eda) de lichenrowicz-jacobi de una variedad de jacobi, introducidas por vaisman (respectivamente, de le\u00f3n, marrero y padr\u00f3n). Se comienza con un cap\u00edtulo introductorio en donde se recuerdan algunas generalidades conocidas sobre estructuras de jacobi, algebroides de lie y teor\u00edas de homolog\u00eda y cohomolog\u00eda asociadas a tales algebroides.  en el cap\u00edtulo 2 se describen ciertas teor\u00edas de homolog\u00eda y cohomolog\u00eda asociadas a un bialgebroide de lie generalizado triangular. Este tipo de estructuras fueron introducidas recientemente por iglesias y marrero y son una generalizaci\u00f3n de los bialgebroides de lie triangulares de mackenzie y xu.  como un caso particular se recupera la definici\u00f3n de la homolog\u00eda y cohomolog\u00eda de lichnerowiez-jacobi para una variedad de jacobi. Para finalizar la primera parte de la tesis, en los cap\u00edtulos 3 y 4 se hace un c\u00e1lculo expl\u00edcito de los grupos de homolog\u00eda y cohomolog\u00eda de lichnerowicz-jacobi de ejemplos relevantes de variedades de jacobi.  adem\u00e1s, se prueba la invarianza conforme de estas teor\u00edas de homolog\u00eda y cohomolog\u00eda.  la segunda parte de la tesis (los 3 \u00faltimos cap\u00edtulos de la memoria) est\u00e1 dedicada al estudio de ciertas teor\u00edas de homolog\u00eda y cohomolog\u00eda para corchetes de nambu-poisson y nambu-jacobi. As\u00ed, se comienza en el cap\u00edtulo 5 recordando las nociones y resultados conocidos sobre estructuras de nambu-poisson, nambu-jacobi y algebroides de leibniz. Adem\u00e1s, en este cap\u00edtulo se construye el algebroide de leibniz asociado a una variedad de namb<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teor\u00edas de homolog\u00eda y cohomolog\u00eda para variedades de jacobi, nambu-poisson y nambu-jacobi<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teor\u00edas de homolog\u00eda y cohomolog\u00eda para variedades de jacobi, nambu-poisson y nambu-jacobi <\/li>\n<li><strong>Autor:<\/strong>\u00a0 M. Bel\u00e9n L\u00f3pez Brito <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 13\/12\/2002<\/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> Marrero Gonz\u00e1lez Juan  Carlos<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: domingo Chinea miranda <\/li>\n<li>ra\u00fal Ib\u00e1\u00f1ez torres (vocal)<\/li>\n<li>Manuel De le\u00f3n rodr\u00edguez (vocal)<\/li>\n<li>Juan Rocha mart\u00edn (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de M. Bel\u00e9n L\u00f3pez Brito En esta memoria se hace un estudio sistem\u00e1tico y profundo de ciertas teor\u00edas [&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":[9915],"tags":[62576,26185,62575,3233,26186,62577],"class_list":["post-20591","post","type-post","status-publish","format-standard","hentry","category-la-laguna","tag-domingo-chinea-miranda","tag-juan-rocha-martin","tag-m-belen-lopez-brito","tag-manuel-de-leon-rodriguez","tag-marrero-gonzalez-juan-carlos","tag-raul-ibanez-torres"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/20591","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=20591"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/20591\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=20591"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=20591"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=20591"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}