Some results on Teichmüller spaces of Klein surfaces

1995/07/21 by Pablo Arés Gastesi, Gastesi, Pablo Arés
Mathematics · #30F12 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT #msc:30F12

paper · pdf · doi:10.48550/arxiv.math/9507207

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

arxiv created 1995/07/21 · arxiv updated 2009/11/30

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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