Klein foams
Antonio CostaSabir Gusein-ZadeSergey Natanzon
14H1530F1032G15foamsKlein surfacesmoduli space
Klein foams are analogues of Riemann and Klein surfaces with one-dimensional singularities. We prove that the field of dianalytic functions on a Klein foam $\Omega$ coincides with the field of dianalytic functions on a Klein surface $K_{\Omega}$. We construct the moduli space of Klein foams, and we prove that the set of classes of topologically equivalent Klein foams form an analytic space homeomorphic to $\mathbb{R}^n/\mathsf{Mod}$, where $\mathsf{Mod}$ is a discrete group.
Indiana University Mathematics Journal
2011
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10.1512/iumj.2011.60.4296
10.1512/iumj.2011.60.4296
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Indiana Univ. Math. J. 60 (2011) 985 - 996
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