A. Moriani

Polynomial Maximal Surfaces in H^{2,2} and Spherical Polygons

We study the moduli space of complete maximal surfaces in pseudo-hyperbolic space $\mathbf{H}^{2,2}$ with polygonal asymptotic boundary a lightlike $(n+4)$-gon in the Einstein universe $\mathbf{Ein}^{1,2}$, up to the action of $\mathsf{SO}_0(2,3)$. Importantly, this space $M_{n+4}(\mathbf{H}^{2,2})$ is disconnected for...