Exotic smooth structures on 3{CP}^2#8{-CP}^2
几何拓扑
2007-05-23 v4
摘要
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.
引用
@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}
}
备注
Minor errors are corrected