Some results on Teichmüller spaces of Klein surfaces

Details Some results on Teichmüller spaces of Klein surfaces Some results on Teichmüller spaces of Klein surfaces

1995-07-21

arxiv.org/abs/math/9507207v1

Mathematics

Geometric Topology

18 pgs, diagrams in ps form (original file requires xypic macro), 42 Kbs, 2 pgs of figures, AMSLaTeX

Scientific paper

This paper contains some results about Teichm\"uller 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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