English

Perturbed Holomorphic Cylinders, Exponential Estimates, and Flow Lines

Symplectic Geometry 2021-10-19 v3 Differential Geometry

Abstract

A convergence result for perturbed holomorphic cylinders in R2n\mathbb{R}^{2n} is proved; a sequence of perturbed holomorphic cylinders converges to a configuration of two holomorphic disks joined by a flow line. A key step in the computation is played by an a priori exponential estimate.

Keywords

Cite

@article{arxiv.2110.04630,
  title  = {Perturbed Holomorphic Cylinders, Exponential Estimates, and Flow Lines},
  author = {Dylan Cant},
  journal= {arXiv preprint arXiv:2110.04630},
  year   = {2021}
}

Comments

14 pages, 5 Figures

R2 v1 2026-06-24T06:45:51.453Z