Toward an exotic $S^2\times S^2$ and an exotic ${\mathbb{CP}}^2\#{\overline{\mathbb{CP}}}^2$

Bernd Johannes Wuebben

We study a specified Luttinger filling in the construction of Lidman and Piccirillo whose simple connectivity would yield exotic $S^2\times S^2$ and $\mathbb{CP}^2\#\overline{\math…