2017-12-23
Stanford University. Department of Mathematics.
Chan
Yin Kwan
Yin Kwan Chan
666885590
666885590
Moduli spaces of pseudo-holomorphic disks and floer theory of cleanly intersecting immersed lagrangians
en
2010
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.
Eliashberg
Y.
Y. Eliashberg
1946
Ionel
Eleny
Eleny Ionel
2010
Galatius
Søren
Søren Galatius
1976