Let $M$ be a three-dimensional contact manifold and $\psi:D\setminus\{0\}\to M\times{\Bbb R}$ a finite-energy pseudoholomorphic map from a punctured disc in ${\Bbb C}$, that is asymptotic to a periodic orbit of the Reeb vector field. This article examines conditions under which smooth coordinates may be defined in a tubular neighbourhood of the orbit such that $\psi$ resembles a holomorphic curve, invoking comparison with the theory of topological linking of plane complex algebroid curves near...
Source: http://arxiv.org/abs/math/0701496v1