Abstract
A method of finding the moduli space of de Witt super-Riemann surfaces in any genus is described. The approach is to use cohomology to compute the homomorphisms from the surface group into the superconformal group; it turns out that this is a simpler problem, with a smaller class of solutions than had been suspected. The description of super-Teichmüller space as a complex supermanifold is confirmed.
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Hodgkin, L. A direct calculation of super-Teichmüller space. Lett Math Phys 14, 47–53 (1987). https://doi.org/10.1007/BF00403469
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DOI: https://doi.org/10.1007/BF00403469