An invariant of smooth 4-manifolds

Details An invariant of smooth 4-manifolds An invariant of smooth 4-manifolds

1997-12-06

arxiv.org/abs/math/9712292v1

Geom. Topol. 1 (1997), 71-89

Mathematics

Geometric Topology

19 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper6.abs.html

Scientific paper

We define a diffeomorphism invariant of smooth 4-manifolds which we can
estimate for many smoothings of R^4 and other smooth 4-manifolds. Using this
invariant we can show that uncountably many smoothings of R^4 support no Stein
structure. (Gompf has constructed uncountably many smoothings of R^4 which do
support Stein structures.) Other applications of this invariant are given.

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