A note on surfaces in ${\mathbb{CP}}^2$ and ${\mathbb{CP}}^2\#{\mathbb{CP}}^2$

Marco Marengon, Allison N. Miller, Arunima Ray +1

In this brief note, we investigate the ${\mathbb{CP}}^2$-genus of knots, i.e. the least genus of a smooth, compact, orientable surface in ${\mathbb{CP}}^2\setminus \mathring{B^4}$ boun…