Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior
arXiv:math/0208151 · doi:10.1016/j.anihpc.2003.01.004
Abstract
This paper is part of a larger program, the investigation of the Chord Problem in three dimensional contact geometry. The main tool will be pseudoholomorphic strips in the symplectisation of a three dimensional contact manifold with two totally real submanifolds as boundary conditions. The submanifolds and do not intersect transversally. The subject of this paper is to study the asymptotic behavior of such pseudoholomorphic strips.
An updated version of the preprint math.SG/0111142 will appear as four separate papers. This is the first part (53 pages). In this version one estimate is significantly improved