中文

第二Betti数为9的有理曲面上的一个旋塞

几何拓扑 2024-09-30 v3

摘要

我们给出了CP2#8CP2\mathbf{CP}^2 \# 8\overline{\mathbf{CP}^2}的一个旋塞的首个显式例子。该结果给出了已发现显式旋塞的标准单连通闭44-流形的当前最小第二Betti数。

关键词

引用

@article{arxiv.2307.16454,
  title  = {A cork of the rational surface with the second Betti number 9},
  author = {Yohei Wakamaki},
  journal= {arXiv preprint arXiv:2307.16454},
  year   = {2024}
}

备注

24 pages, 31 figures. v3 includes many improvements in the exposition and corrections to Figures 5, 7, 8, 9, 10, 13, thanks to the anonymous referee. This version agrees with the published version