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

Verfasser/in: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
Verlag: 2010.
Dissertation: Thesis (Ph. D.)--Stanford University, 2010.
Ausgabe/Format   Diplomarbeit/Dissertation : Dokument : Diplomarbeit/Dissertation : E-Book   Computer-Datei : Englisch
Datenbank:WorldCat
Zusammenfassung:
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  Weiterlesen…
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Medientyp: Dokument, Diplomarbeit/Dissertation, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
OCLC-Nummer: 666885590
Anmerkungen: Submitted to the Department of Mathematics.
Beschreibung: 1 online resource.
Verfasserangabe: Yin Kwan Chan.

Abstract:

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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