Parameters for generalized Teichmüller spaces

  • Charalampos Charitos

    Agricultural University of Athens, Greece
  • Ioannis Papadoperakis

    Agricultural University of Athens, Greece
Parameters for generalized Teichmüller spaces cover
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Abstract

We give a finite number of real parameters for the Teichmüller space of a hyperbolic pair of pants with a conical singularity. We also give a finite number of real parameters for a space of hyperbolic structures on a class of 2-dimensional simplicial complexes. Such a space of hyperbolic structures associated to a simplicial complex can be regarded as a Teichmüller space for that complex.