{"id":143241,"date":"1993-01-01T00:00:00","date_gmt":"1993-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/cohomologia-de-supervariedades\/"},"modified":"1993-01-01T00:00:00","modified_gmt":"1993-01-01T00:00:00","slug":"cohomologia-de-supervariedades","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/cohomologia-de-supervariedades\/","title":{"rendered":"Cohomolog\u00eda de supervariedades"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carles Victoria Monge <\/strong><\/h2>\n<p>Se presenta una construccion de cohomolog\u00eda bigraduada en supervariedades que generaliza ideas previas de voronov-schwartz. La construccion se realiza en la categoria de supervariedades graduadas y es functorial en dicha categoria. La construccion se realiza explotando una presentacion original del complejo de de rham en variedades ordinarias donde se identifican las formas diferenciales con ciertas secciones de productuos exteriores de campos vectoriales y la diferencial exterior con un operador diferencial en dicho fibrado. La cohomolog\u00eda bigraduada construida explotando esta idea es sensible a la superestructura de la supervariedad. Por otro lado el lema de poincare deja de ser cierto (lo que dificulta en gran manera los calculos efectivos de cohomolog\u00edas). Para realizar la citada construccion se utiliza el concepto de superfibrado vectorial de sanchez valenzuela. Se reconsidera el concepto de ecuacion diferencial ordinaria de shander y sorokin. Se discute la supergrasmannina como superespacio clasificante y se estudian los aspectos fundamentales de la teoria de cobordismo.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Cohomolog\u00eda de supervariedades<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Cohomolog\u00eda de supervariedades <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carles Victoria Monge <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1993<\/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>Sebasti\u00e1n Xamb\u00f3 Descamps<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Ignacio Luengo Velasco <\/li>\n<li>Juan Monterde Garcia-pozuelo (vocal)<\/li>\n<li>Daniel Hernandez Ruiperez (vocal)<\/li>\n<li>Rafael Hernandez Garcia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carles Victoria Monge Se presenta una construccion de cohomolog\u00eda bigraduada en supervariedades que generaliza ideas previas 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 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