Stein surfaces as open subsets of C^2

Abstract

An open subset U of a complex surface can be topologically perturbed to yield an open subset whose inherited complex structure is Stein, if and only if U is homeomorphic to the interior of a handlebody whose handles all have index equal or less than 2.

Comments 23 pages, 5 figures, AMS-LaTeX v2: Overcompressed figures fixed. v3: Minor edits - this is the published version

References in corpus (1)

• An invariant of smooth 4-manifolds

Cited by in corpus (9)

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• Smooth embeddings with Stein surface images
• Minimal genera of open 4-manifolds
• Exotic smoothings via large R^4's in Stein surfaces
• Creating Stein surfaces by topological isotopy
• H-principle for complex contact structures on Stein manifolds
• Survey of Oka theory
• A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions
• Deformations of Stein structures and extensions of holomorphic mappings