English

Compactness for holomorphic curves with switching Lagrangian boundary conditions

Symplectic Geometry 2009-03-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0903.2200,
  title  = {Compactness for holomorphic curves with switching Lagrangian boundary conditions},
  author = {Kai Cieliebak and Tobias Ekholm and Janko Latschev},
  journal= {arXiv preprint arXiv:0903.2200},
  year   = {2009}
}

Comments

28 pages, no figures

R2 v1 2026-06-21T12:39:53.815Z