Journal of Symplectic Geometry
Volume 8 (2010)
Compactness for holomorphic curves with switching Lagrangian boundary conditions
Pages: 267 – 298
We prove a compactness result for holomorphic curves with boundary on an immersed Lagrangian submanifold with clean self-intersection. As an important consequence, we show that the number of intersections of such holomorphic curves with the self-intersection locus is uniformly bounded in terms of the Hofer energy.