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An invariant of smooth 4–manifolds
Laurence R Taylor
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Geometry & Topology 1 (1997)
71–89
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Abstract
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We define a diffeomorphism invariant of smooth 4–manifolds which we
can estimate for many smoothings of R4 and other smooth
4–manifolds. Using this invariant we can show that uncountably
many smoothings of R4 support no Stein structure. Gompf
constructed uncountably many smoothings of R4 which do
support Stein structures. Other applications of this invariant are given.
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Keywords
smooth 4–manifolds, Stein
manifolds, covering spaces
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Mathematical Subject Classification
Primary: 57R10
Secondary: 57N13
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Publication
Received: 21 October 1997
Accepted: 24 November 1997
Published: 6 December 1997
Proposed: Robion Kirby
Seconded: Ronald Stern, Ronald Fintushel
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