Decorated Teichmüller Theory of Bordered Surfaces

  title={Decorated Teichm{\"u}ller Theory of Bordered Surfaces},
  author={Robert C. Penner},
This paper extends the decorated Teichmüller theory developed before for punctured surfaces to the setting of “bordered” surfaces, i.e., surfaces with boundary, and there is non-trivial new structure discovered. Beyond this, the main new result of this paper identifies an open dense subspace of the arc complex of a bordered surface up to proper homotopy equivalence with a certain quotient of the moduli space, namely, the quotient by the natural action of the positive reals by homothety on the… CONTINUE READING

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