Compactness for holomorphic curves with switching Lagrangian boundary conditions

Details Compactness for holomorphic curves with switching Lagrangian boundary conditions Compactness for holomorphic curves with switching Lagrangian boundary conditions

2009-03-12

arxiv.org/abs/0903.2200v1

Mathematics

Symplectic Geometry

28 pages, no figures

Scientific paper

We prove a compactness result for holomorphic curves with boundary on an
immersed Lagrangian submanifold with clean self-intersection. As a 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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