A compendium of pseudoholomorphic beasts in R x (S^1 x S^2)
Geometric Topology
2014-11-11 v1 Symplectic Geometry
Abstract
This article describes various moduli spaces of pseudoholomorphic curves on the symplectization of a particular overtwisted contact structure on S^1 x S^2. This contact structure appears when one considers a closed self dual form on a 4-manifold as a symplectic form on the complement of its zero locus. The article is focussed mainly on disks, cylinders and three-holed spheres, but it also supplies groundwork for a description of moduli spaces of curves with more punctures and non-zero genus.
Keywords
Cite
@article{arxiv.math/0212389,
title = {A compendium of pseudoholomorphic beasts in R x (S^1 x S^2)},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:math/0212389},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper23.abs.html