L'invariant de Gromov-Witten
dc.contributor.advisor | Lalonde, François | |
dc.contributor.author | Liu, Qing Zhe | |
dc.date.accessioned | 2024-01-23T14:13:45Z | |
dc.date.available | NO_RESTRICTION | fr |
dc.date.available | 2024-01-23T14:13:45Z | |
dc.date.issued | 2023-05-29 | |
dc.date.submitted | 2023-02 | |
dc.identifier.uri | http://hdl.handle.net/1866/32414 | |
dc.subject | Gromov-Witten invariant | fr |
dc.subject | Gromov invariant | fr |
dc.subject | Symplectic topology | fr |
dc.subject | Topology | fr |
dc.subject | Invariant de Gromov-Witten | fr |
dc.subject | Invariant de Gromov | fr |
dc.subject | Topologie symplectique | fr |
dc.subject | Topologie | fr |
dc.subject.other | Mathematics / Mathématiques (UMI : 0405) | fr |
dc.title | L'invariant de Gromov-Witten | fr |
dc.type | Thèse ou mémoire / Thesis or Dissertation | |
etd.degree.discipline | Mathématiques | fr |
etd.degree.grantor | Université de Montréal | fr |
etd.degree.level | Maîtrise / Master's | fr |
etd.degree.name | M. Sc. | fr |
dcterms.abstract | Ce mémoire revient sur l'invariant de Gromov-Witten dans le contexte de topologie symplectique. D'abord, on présente un survol des notions nécessaires de la topologie symplectique, qui inclut les espaces vectoriels symplectiques, les variétés symplectiques, les structures presque complexes et la première classe de Chern. Ensuite, on présente une définition de l'invariant de Gromov-Witten, qui utilise les courbes pseudoholomorphes, les espaces de modules ainsi que les applications d'évaluation. Finalement, on donne quelques exemples de calcul d'invariant à la fin de ce mémoire. | fr |
dcterms.abstract | The present work reviews the Gromov-Witten invariant in the context of symplectic topology. First, we showcase the basic concepts required for the understanding of the matter, which includes symplectic vector spaces, symplectic manifolds, almost complex structures and the first Chern class. Then, we provide a definition of the Gromov-Witten invariant, after studying pseudoholomorphic curves, moduli spaces and evaluation maps. In the end, we present some examples of Gromov-Witten invariant calculations. | fr |
dcterms.language | fra | fr |
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