Abstract:We give an overview of the research related to the topological characterization of Stein domains in complex two-dimensional space, and an instance of their many important connections to smooth manifold topology in dimension four. One goal is to motivate and explain the following remarkable conjecture of Gompf: no Brieskorn integral homology sphere (other than S
3) admits a pseudoconvex embedding in ℂ2, with either orientation. We include some new examples and results that consider the conject… Show more
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