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

Taubes, Clifford Henry¹

¹ Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138, USA

Geometry & topology, Tome 6 (2002) no. 2, pp. 657-814.

Résumé

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.

Détail

DOI : 10.2140/gt.2002.6.657

Keywords: pseudoholomorphic curves, moduli spaces, contact structures

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