Removable singularities for nonlocal minimal graphs

We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in $\mathrm{\Omega }\setminus K$, where $\mathrm{\Omega }\subset {\mathbb{R}}^n$ is an open set and $K\subset \mathrm{\Omega }$ is a compact set of $(s,1)$-capacity zero, is indeed a nonlocal minimal graph in all of $\mathrm{\Omega }$.