Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior

Details Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior

2002-08-21

arxiv.org/abs/math/0208151v2

Annales de l'Institut Henri Poincare, Analyse non lineaire, (2004), Vol. 21/2 pp. 139-185

Mathematics

Symplectic Geometry

An updated version of the preprint math.SG/0111142 will appear as four separate papers. This is the first part (53 pages). In

Scientific paper

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 $L_0,L_1$ as boundary conditions. The submanifolds $L_0$ and $L_1$ do not intersect transversally. The subject of this paper is to study the asymptotic behavior of such pseudoholomorphic strips.

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