#### Volume 6, issue 2 (2002)

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A compendium of pseudoholomorphic beasts in $\mathbb{R}{\times}(S^1{\times}S^2)$

### Clifford Henry Taubes

Geometry & Topology 6 (2002) 657–814
 arXiv: math.GT/0212389
##### Abstract

This article describes various moduli spaces of pseudoholomorphic curves on the symplectization of a particular overtwisted contact structure on ${S}^{1}×{S}^{2}$. 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
pseudoholomorphic curves, moduli spaces, contact structures
##### Mathematical Subject Classification 2000
Primary: 32Q65
Secondary: 57R17, 57R57