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Pseudoholomorphic punctured spheres in R × (S1× S2): Moduli space parametrizations

Clifford Henry Taubes

Geometry & Topology 10 (2006) 1855–2054

DOI: 10.2140/gt.2006.10.1855

arXiv: 0903.0337
Abstract

This is the second of two articles that describe the moduli spaces of pseudoholomorphic, multiply punctured spheres in R × (S1 × S2) as defined by a certain natural pair of almost complex structure and symplectic form. The first article in this series described the local structure of the moduli spaces and gave existence theorems. This article describes a stratification of the moduli spaces and gives explicit parametrizations for the various strata.

Keywords

pseudoholomorphic, punctured sphere, almost complex structure, symplectic form, moduli space
Mathematical Subject Classification

Primary: 53D30

Secondary: 53C15, 53D05, 57R17
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Publication

Received: 5 April 2005
Accepted: 25 October 2006
Published: 7 November 2006
Proposed: Rob Kirby
Seconded: Jim Bryan, Ron Stern
Authors
Clifford Henry Taubes
Department of Mathematics
Harvard University
Cambridge, MA 02138
USA