The space of asymptotically conical self-expanders of mean curvature flow

We show that the space of asymptotically conical self-expanders of the mean curvature flow is a smooth Banach manifold. An immediate consequence is that non-degenerate self-expanders – that is, those self-expanders that admit no non-trivial normal Jacobi fields that fix the asymptotic cone – are generic in a certain sense.