{"id":85956,"date":"2018-03-10T00:10:29","date_gmt":"2018-03-10T00:10:29","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-la-amplitud-de-fibrado-de-cuantizacion-en-geometria-simplectica-y-de-contacto\/"},"modified":"2018-03-10T00:10:29","modified_gmt":"2018-03-10T00:10:29","slug":"sobre-la-amplitud-de-fibrado-de-cuantizacion-en-geometria-simplectica-y-de-contacto","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-la-amplitud-de-fibrado-de-cuantizacion-en-geometria-simplectica-y-de-contacto\/","title":{"rendered":"\u00absobre la amplitud de fibrado de cuantizaci\u00f3n en geometr\u00eda simpl\u00e9ctica y de contacto\u00bb"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Presas Mata <\/strong><\/h2>\n<p>La memoria tiene por objeto la extensi\u00f3n de las t\u00e9cnicas aproximadamente holomorfas desarrolladas por simon donalson para el estudio de variedades simpl\u00e9cticas. La extensi\u00f3n se realiza en dos direcciones. Por un lado se profundica en el estudio de las variedades simpl\u00e9cticas, por otro se busca la aplicaci\u00f3n de las t\u00e9cnicas aproximadamente holomorfas a otras \u00e1reas de la geometr\u00eda diferencial, en concreto a la geometr\u00eda de contacto.  la herramienta principal en el caso simpl\u00e9ctico es el fibrado precuantizable l. Este es el fibrado cuya curvatura es la forma simpl\u00e9ctica de la variedad en estudio, impl\u00edcitamente suponemos que la variedad tiene forma simpl\u00e9ctica de clase entera. Tensorizando consigo mismo este fibrado k veces es posible encontrar secciones de l k \u00abaproximadamente holomorfas\u00bb si k es suficientemente grande. En la memoria se usan esas secciones para probar una serie de resultados de geometr\u00eda simpl\u00e9ctica proyectiva. En concreta se estudian teoremas de inmersi\u00f3n tipo kodaira, intersecciones de variedades simpl\u00e9cticas proyectivas con variedades complejas proyectivas, subvariedades simpl\u00e9cticas determinantales, etc. Se prueba adem\u00e1s que la topolog\u00eda de los objetos construidos es de tipo holomorfo.  en la memoria se adaptan todas las herramientas asint\u00f3ticamente holomorfas al caso de variedades de contacto. Se prueban resultados an\u00e1logos a los probados en el caso simpl\u00e9ctico. En concreto se construyen un gran n\u00famero de subvariedades de contacto de una dada, se define y se demuestra la existencia de \u00abpinceles de lefschetz de contacto\u00bb y finalmente se adapta toda la discusi\u00f3n al caso de variedades simpl\u00e9cticas con frontera de contacto.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00absobre la amplitud de fibrado de cuantizaci\u00f3n en geometr\u00eda simpl\u00e9ctica y de contacto\u00bb<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00absobre la amplitud de fibrado de cuantizaci\u00f3n en geometr\u00eda simpl\u00e9ctica y de contacto\u00bb <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Presas Mata <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 14\/07\/2000<\/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>Ignacio Sols Lucia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Andradas heranz <\/li>\n<li>denis Auroux (vocal)<\/li>\n<li>k. Donaldson simon (vocal)<\/li>\n<li>vicente Mu\u00f1oz velazquez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Presas Mata La memoria tiene por objeto la extensi\u00f3n de las t\u00e9cnicas aproximadamente holomorfas desarrolladas por [&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":[583,126],"tags":[5303,180693,180692,9618,180694,40331],"class_list":["post-85956","post","type-post","status-publish","format-standard","hentry","category-geometria","category-matematicas","tag-carlos-andradas-heranz","tag-denis-auroux","tag-francisco-presas-mata","tag-ignacio-sols-lucia","tag-k-donaldson-simon","tag-vicente-munoz-velazquez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/85956","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=85956"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/85956\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=85956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=85956"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=85956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}