Dual Teichmüller Spaces

  title={Dual Teichm{\"u}ller Spaces},
  author={Valerie Fock},
We describe in elementary geometrical terms Teichmüller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations with compact and closed support respectively and show explicitly that the latter spaces are asymptotically isomorphic to the former. We discuss briefly quantisation of Teichmüller spaces and some other application of the constructed approach. The paper does not require any preliminary knowledge of the… CONTINUE READING
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