Abstract
We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz–Minkowski space \(\mathbb{L}^3=\big(\mathbb{R}^3, dx_1^2+dx_2^2-dx_3^2\big)\), 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 {x 3 = 0}.
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Fernández, I., López, F.J. & Souam, R. The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz–Minkowski space \(\mathbb{L}^3\) . manuscripta math. 122, 439–463 (2007). https://doi.org/10.1007/s00229-007-0079-1
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DOI: https://doi.org/10.1007/s00229-007-0079-1