English

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

Geometric Topology 2007-05-23 v4

Abstract

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.

Keywords

Cite

@article{arxiv.math/0507085,
  title  = {Exotic smooth structures on 3{CP}^2#8{-CP}^2},
  author = {Jongil Park},
  journal= {arXiv preprint arXiv:math/0507085},
  year   = {2007}
}

Comments

Minor errors are corrected