A cork of the rational surface with the second Betti number 9

Yohei Wakamaki

doi:10.1016/j.topol.2024.109002

A cork of the rational surface with the second Betti number 9

Geometric Topology 2024-09-30 v3

Authors: Yohei Wakamaki

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Abstract

We provide the first explicit example of a cork of $\mathbf{CP}^2 \# 8\overline{\mathbf{CP}^2}$ . This result gives the current smallest second Betti number of a standard simply-connected closed $4$ -manifold for which an explicit cork has been found.

Keywords

cork rational surface second betti number simply-connected 4-manifold cp^2

Cite

@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}
}

Comments

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

A cork of the rational surface with the second Betti number 9

Abstract

Keywords

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