## Geometry & Topology

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

Clifford Henry Taubes

#### Abstract

This article describes various moduli spaces of pseudoholomorphic curves on the symplectization of a particular overtwisted contact structure on $S1×S2$. 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.

#### Article information

Source
Geom. Topol., Volume 6, Number 2 (2002), 657-814.

Dates
Accepted: 18 December 2002
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513882938

Digital Object Identifier
doi:10.2140/gt.2002.6.657

Mathematical Reviews number (MathSciNet)
MR1943381

Zentralblatt MATH identifier
1021.32008

#### Citation

Taubes, Clifford Henry. A compendium of pseudoholomorphic beasts in $\mathbb{R}{\times}(S^1{\times}S^2)$. Geom. Topol. 6 (2002), no. 2, 657--814. doi:10.2140/gt.2002.6.657. https://projecteuclid.org/euclid.gt/1513882938

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