Pseudoholomorphic punctured spheres in R x (S^1 x S^2) : Moduli space parametrizations

TL;DR

This paper provides a detailed stratification and explicit parametrizations of the moduli spaces of pseudoholomorphic, multiply punctured spheres in R x (S^1 x S^2), building on previous local structure and existence results.

Contribution

It introduces a stratification framework and explicit parametrizations for the moduli spaces, advancing understanding of their global structure.

Findings

Stratification of the moduli spaces into distinct layers

Explicit parametrizations for each stratum

Enhanced understanding of the global structure of the moduli spaces

Abstract

This is the second of two articles that describe the moduli spaces of pseudoholomorphic, multiply punctured spheres in R x (S^1 x 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.