Geodesic
Topological invariants and moduli of hyperbolic $n=2$ Riemann supersurfaces
Sbornik. Mathematics, Tome 79 (1994) no. 1, pp. 15-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article contains an investigation of $N=2$ Riemann supersurfaces arising in models of field theory. It is proved that the topological invariants of $N=2$ supersurfaces consist of the invariants of the underlying space (genus, number of holes and punctures) and the topological invariants of a pair of induced spinor forms. For each set of topological invariants a corresponding moduli space of supersurfaces is constructed. It is represented in the form $T/\mathrm{Mod}$, where $T$ is a linear superspace, and $\mathrm{Mod}$ is a discrete group. In passing, a classification is obtained for two-dimensional spinor bundles, along with an imbedding of the space of $N=1$ supersurfaces in the space of $N=2$ supersurfaces. 
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     title = {Topological invariants and moduli of hyperbolic $n=2$ {Riemann} supersurfaces},
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     url = {http://geodesic.mathdoc.fr/item/SM_1994_79_1_a1/}
}
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S. M. Natanzon. Topological invariants and moduli of hyperbolic $n=2$ Riemann supersurfaces. Sbornik. Mathematics, Tome 79 (1994) no. 1, pp. 15-31. http://geodesic.mathdoc.fr/item/SM_1994_79_1_a1/

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