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

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Abstract/Contents

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.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2010
Issuance monographic
Language English

Creators/Contributors

Associated with Chan, Yin Kwan
Associated with Stanford University, Department of Mathematics
Primary advisor Ionel, Eleny
Thesis advisor Ionel, Eleny
Thesis advisor Eliashberg, Y, 1946-
Thesis advisor Galatius, Søren, 1976-
Advisor Eliashberg, Y, 1946-
Advisor Galatius, Søren, 1976-

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Ken Yin Kwan Chan.
Note Submitted to the Department of Mathematics.
Thesis Ph.D. Stanford University 2010
Location electronic resource

Access conditions

Copyright
© 2010 by Yin Kwan Chan
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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