Pseudoholomorphic punctured spheres in R x (S^1 x S^2) : Properties and existence
Symplectic Geometry
2009-03-03 v1 Geometric Topology
Abstract
This is the first of at least two articles that describe the moduli spaces of pseudoholomorphic, multiply punctured spheres in R x (S^1 x S^2) as defined by a certain natural pair of almost complex structure and symplectic form. This article proves that all moduli space components are smooth manifolds. Necessary and sufficient conditions are also given for a collection of closed curves in S^1 x S^2 to appear as the set of |s| --> infinity limits of the constant s in R slices of a pseudoholomorphic, multiply punctured sphere.
Cite
@article{arxiv.0903.0142,
title = {Pseudoholomorphic punctured spheres in R x (S^1 x S^2) : Properties and existence},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:0903.0142},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 24 July 2006