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Some results on Teichmüller spaces of Klein surfaces

Pablo Arés Gastesi

math.GTarXiv:math/9507207

Abstract

This paper contains some results about Teichmüller spaces of non-orientable surfaces (Klein surfaces). We prove several theorems giving isomorphisms between deformation spaces of Klein surfaces. These results show the similarity between the deformation theory of Klein surfaces, and the theory of Riemann surfaces. We also use the results of I. Kra to give explicit examples of deformation spaces of compact Klein surfaces.

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