A compendium of pseudoholomorphic beasts in ℝ×(S1×S2)

This article describes various moduli spaces of pseudoholomorphic curves on the symplectization of a particular overtwisted contact structure on $S^{1} \times S^{2}$ . 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

References

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Publication

Received: 21 November 2002

Accepted: 18 December 2002

Published: 18 December 2002

Proposed: Robion Kirby

Seconded: Yasha Eliashberg, John Morgan

Authors

Clifford Henry Taubes
Department of Mathematics Harvard University Cambridge Massachusetts 02138 USA

Volume 6, issue 2 (2002)

Clifford Henry Taubes