Pseudoholomorphic curves in symplectic and contact geometry and their application in dynamics.

摘要

We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov's original paper by using doublings of the pseudoholomorphic curves. In addition, we prove an SFT-compactness result for pseudoholomorphic curves in a cylindrical almost complex manifold by using a method introduced by Cieliebak-Mohnke.