Exact Lagrangian cobordism and pseudo-isotopy
dc.contributor.advisor | Cornea, Octavian | |
dc.contributor.author | Suárez López, Lara Simone | |
dc.date.accessioned | 2015-03-13T16:01:35Z | |
dc.date.available | NO_RESTRICTION | fr |
dc.date.available | 2015-03-13T16:01:35Z | |
dc.date.issued | 2015-02-18 | |
dc.date.submitted | 2014-09 | |
dc.identifier.uri | http://hdl.handle.net/1866/11416 | |
dc.subject | Lagrangian submanifold | fr |
dc.subject | Lagrangian cobordism | fr |
dc.subject | Lagrangian pseudo-isotopy | fr |
dc.subject | Floer homology | fr |
dc.subject | Whitehead torsion | fr |
dc.subject | Sous-variété lagrangienne | fr |
dc.subject | Cobordisme lagrangien | fr |
dc.subject | Pseudo-isotopie lagrangienne | fr |
dc.subject | Homologie de Floer | fr |
dc.subject | Torsion de Whitehead | fr |
dc.subject.other | Mathematics / Mathématiques (UMI : 0405) | fr |
dc.title | Exact Lagrangian cobordism and pseudo-isotopy | fr |
dc.type | Thèse ou mémoire / Thesis or Dissertation | |
etd.degree.discipline | Mathématiques | fr |
etd.degree.grantor | Université de Montréal | fr |
etd.degree.level | Doctorat / Doctoral | fr |
etd.degree.name | Ph. D. | fr |
dcterms.abstract | Dans cette thèse, on étudie les propriétés des sous-variétés lagrangiennes dans une variété symplectique en utilisant la relation de cobordisme lagrangien. Plus précisément, on s'intéresse à déterminer les conditions pour lesquelles les cobordismes lagrangiens élémentaires sont en fait triviaux. En utilisant des techniques de l'homologie de Floer et le théorème du s-cobordisme on démontre que, sous certaines hypothèses topologiques, un cobordisme lagrangien exact est une pseudo-isotopie lagrangienne. Ce resultat est une forme faible d'une conjecture due à Biran et Cornea qui stipule qu'un cobordisme lagrangien exact est hamiltonien isotope à une suspension lagrangianenne. | fr |
dcterms.abstract | In this thesis we study the properties of Lagrangian submanifolds of a symplectic manifold by using the relation of Lagrangian cobordism. More precisely, we are interested in determining when an elementary Lagrangian cobordism is trivial. Using techniques coming from Floer homology and the s-cobordism theorem, we show that under some topological assumptions, an exact Lagrangian cobordism is a Lagrangian pseudo-isotopy. This is a weaker version of a conjecture proposed by Biran and Cornea, which states that any exact Lagrangian cobordism is Hamiltonian isotopic to a Lagrangian suspension. | fr |
dcterms.language | eng | fr |
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