The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3

Abstract

We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space L3 = (R3, dx2 1 + dx2 2 − dx2 3), with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n+4. The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of {x3 = 0}.