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Quantum structures of some non-monotone Lagrangian submanifolds / Structures quantiques de certaines sous-variétés lagrangiennes non monotones

In this thesis we present a slight generalisation of the Pearl complex or relative quantum homology to some non monotone Lagrangian submanifolds. First we develop the theory for the so called almost monotone Lagrangian submanifolds, We apply it to uniruling problems as well as estimates for the relative Gromov width. In the second part we develop the theory for toric fiber in toric Fano manifolds, recovering previous computaional results of Floer homology . / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

Identiferoai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/210039
Date03 September 2010
CreatorsNgo, Fabien
ContributorsBourgeois, Frédéric, Cornea, Paul, Gutt, Simone, Lalonde, François, Fine, Joel, Damian, Mihai
PublisherUniversite Libre de Bruxelles, Université libre de Bruxelles, Faculté des Sciences – Mathématiques, Bruxelles
Source SetsUniversité libre de Bruxelles
LanguageFrench
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation
Format1 v. (v, 150 p.), No full-text files

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