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

著者: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
出版商: 2010.
论文: Thesis (Ph. D.)--Stanford University, 2010.
版本/格式:   硕士/博士论文 : 文献 : 硕士论文/博士论文 : 电子图书   计算机文档 : 英语
数据库:WorldCat
提要:
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  再读一些...
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材料类型: 文献, 硕士论文/博士论文, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Yin Kwan Chan; Eleny Ionel; Y Eliashberg; Søren Galatius; Stanford University. Department of Mathematics.
OCLC号码: 666885590
注意: Submitted to the Department of Mathematics.
描述: 1 online resource.
责任: Yin Kwan Chan.

摘要:

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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