Geometry & Topology 6 (2002) 657–814

DOI: 10.2140/gt.2002.6.657

arXiv: math.GT/0212389

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.

Keywords

pseudoholomorphic curves, moduli spaces, contact structures

Mathematical Subject Classification

Primary: 32Q65

Secondary: 57R17, 57R57

References

Forward citations

Publication

Received: 21 November 2002
Accepted: 18 December 2002
Published: 18 December 2002
Proposed: Robion Kirby
Seconded: Yasha Eliashberg, John Morgan

Authors