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

Taubes, Clifford Henry

doi:10.2140/gt.2006.10.1855

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Pseudoholomorphic punctured spheres in $\mathbb{R} \times (S^{1}\times S^{2})$: 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 $ℝ \times (S^{1} \times S^{2})$ 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 2000

Primary: 53D30

Secondary: 53C15, 53D05, 57R17

References

Forward citations

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

Volume 10, issue 4 (2006)