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Moduli spaces of pseudo-holomorphic disks and floer theory of cleanly intersecting immersed lagrangians

Auteur : Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
Éditeur: 2010.
Dissertation: Ph. D. Stanford University 2010
Édition/format:   Thèse/dissertation : Document : Thèse/mémoire : Livre électronique   Fichier d'ordinateur : Anglais
Base de données:WorldCat
Résumé:
In this thesis we investigate moduli spaces of pseudo-holomorphic disks with Lagrangian boundary conditions, in which the Lagrangians are immersed with clean self-intersections. We then discuss the compactification of these moduli spaces, and show that under specific assumptions, the moduli spaces can be oriented. Finally, we use these moduli spaces to construct and compute Lagrangian Floer cohomology for sphere and  Lire la suite...
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Détails

Type d’ouvrage: Document, Thèse/mémoire, Ressource Internet
Type de document: Ressource Internet, Fichier d'ordinateur
Tous les auteurs / collaborateurs: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
Numéro OCLC: 666885590
Notes: Submitted to the Department of Mathematics.
Description: 1 online resource
Responsabilité: Yin Kwan Chan.

Résumé:

In this thesis we investigate moduli spaces of pseudo-holomorphic disks with Lagrangian boundary conditions, in which the Lagrangians are immersed with clean self-intersections. We then discuss the compactification of these moduli spaces, and show that under specific assumptions, the moduli spaces can be oriented. Finally, we use these moduli spaces to construct and compute Lagrangian Floer cohomology for sphere and orientation covers of the real projective space embedded as a Lagrangian submanifold of the complex projective space.

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