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

Autor Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
Vydavatel: 2010.
Dizertace: Ph. D. Stanford University 2010
Vydání/formát:   Kvalifikační práce : Document : Thesis/dissertation : e-kniha   Počítačový soubor : English
Databáze:WorldCat
Shrnutí:
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  Přečíst více...
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Detaily

Typ materiálu: Document, Thesis/dissertation, Internetový zdroj
Typ dokumentu Internetový zdroj, Počítačový soubor
Všichni autoři/tvůrci: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
OCLC číslo: 666885590
Poznámky: Submitted to the Department of Mathematics.
Popis: 1 online resource
Odpovědnost: Yin Kwan Chan.

Anotace:

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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