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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.
Editorial: 2010.
Disertación: Thesis (Ph. D.)--Stanford University, 2010.
Edición/Formato:   Tesis/disertación : Documento : Tesis de maestría/doctorado : Libro-e   Archivo de computadora : Inglés (eng)
Base de datos:WorldCat
Resumen:
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  Leer más
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Detalles

Tipo de material: Documento, Tesis de maestría/doctorado, Recurso en Internet
Tipo de documento: Recurso en Internet, Archivo de computadora
Todos autores / colaboradores: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
Número OCLC: 666885590
Notas: Submitted to the Department of Mathematics.
Descripción: 1 online resource.
Responsabilidad: Yin Kwan Chan.

Resumen:

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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Datos enlazados


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