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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | BAHAYOU, Mohamed Amine | - |
dc.contributor.author | FEDEL, FATIMA | - |
dc.date.accessioned | 2022-06-26T10:00:58Z | - |
dc.date.available | 2022-06-26T10:00:58Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | https://dspace.univ-ouargla.dz/jspui/handle/123456789/29763 | - |
dc.description | Algeber et géométré | en_US |
dc.description.abstract | L’objet de ce mémoire est l’étude de l’espace de modules des connexions plates de 𝐺-fibrés principaux au dessus d’une surface fermée et son isomorphisme avec le quotient de l’espace de représentations du groupe fondamental de la surface à valeur dans 𝐺 (modulo l’action par conjugaison du groupe). La preuve de ce théorème nécessite une étude fine de la théorie des fibrés principaux et des notions connexes | en_US |
dc.description.abstract | The object of this thesis is the study of the moduli space of flat connections of principal 𝐺-bundles over a closed surface and its isomorphism with the quotient of the representation space of the fundamental group of the surface with value in 𝐺 (modulo the action by conjugation of the group). The proof of this theorem requires a detailed study of the theory of principal bundles and related notions. | - |
dc.language.iso | fr | en_US |
dc.publisher | UNIVERSITÉ KASDI MERBAH OUARGLA | en_US |
dc.subject | 𝐺-fibrés | en_US |
dc.subject | connexions | en_US |
dc.subject | holonomie | en_US |
dc.subject | groupe de jauge | en_US |
dc.subject | espace de modules | en_US |
dc.title | Espaces de modules de connexions plates | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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FEDEL-FATIMA.pdf | 398,6 kB | Adobe PDF | View/Open |
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