arXiv:math/0507085 Abstract

arXiv:math/0507085 [math.GT]Abstract References Reviews Resources

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

Published 2005-07-05, updated 2005-08-29Version 4

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.

Comments: Minor errors are corrected

Categories: math.GT

Subjects: 57R17, 57R57, 57N13

Keywords: exotic smooth structures, distinct smooth structures, simply connected smooth

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