A compendium of pseudoholomorphic beasts in R x (S^1 x S^2)

Details A compendium of pseudoholomorphic beasts in R x (S^1 x S^2) A compendium of pseudoholomorphic beasts in R x (S^1 x S^2)

2002-12-31

arxiv.org/abs/math/0212389v1

Geom. Topol. 6(2002) 657-814

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper23.abs.html

Scientific paper

This article describes various moduli spaces of pseudoholomorphic curves on the symplectization of a particular overtwisted contact structure on S^1 x 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.

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