Journal of Symplectic Geometry

Volume 8 (2010)

Number 3

Compactness for holomorphic curves with switching Lagrangian boundary conditions

Pages: 267 – 298



K. Cieliebak

T. Ekholm

J. Latschev


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.

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