Exotic smooth structures on 3{CP}^2#8{-CP}^2

Details Exotic smooth structures on 3{CP}^2#8{-CP}^2 Exotic smooth structures on 3{CP}^2#8{-CP}^2

2005-07-05

arxiv.org/abs/math/0507085v4

Mathematics

Geometric Topology

Minor errors are corrected

Scientific paper

Motivated by Stipsicz and Szab\'{o}'s exotic 4-manifolds with b_2^+=3 and
b_2^-=8, we construct a family of simply connected smooth 4-manifolds with
b_2^+=3 and b_2^-=8. As a corollary, we conclude that the topological
4-manifold 3{CP}^2#8{-CP}^2 admits infinitely many distinct smooth structures.

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