$\mathbb{Z}$-disks in $\mathbb{C}{P}^2$

Anthony Conway, Irving Dai, Maggie Miller

We study locally flat disks in $(\mathbb{C}{P}^2{)}^{\circ }:=(\mathbb{C}{P}^2)\setminus \mathring{B^4}$ with boundary a fixed knot $K$ and whose complement has fundamental group $\mathbb…