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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.
Editora: 2010.
Dissertação: Ph. D. Stanford University 2010
Edição/Formato   Tese/dissertação : Documento : Tese/dissertação : e-book   Arquivo de Computador : Inglês
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Tipo de Material: Documento, Tese/dissertação, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
Número OCLC: 666885590
Notas: Submitted to the Department of Mathematics.
Descrição: 1 online resource
Responsabilidade: Yin Kwan Chan.

Resumo:

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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