Dual Teichmüller Spaces

@inproceedings{Fock1997DualTS,
  title={Dual Teichm{\"u}ller Spaces},
  author={Valerie Fock},
  year={1997}
}
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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References

Publications referenced by this paper.
Showing 1-10 of 13 references

Poisson structure on moduli space of flat connections and classical r-matrix, preprint ITEP-72-92

  • V V Fock, A A Rosly
  • Flat connections and Polyubles
  • 1993

Combinatorics of train Tracks

  • R C Penner, J L Harer
  • Combinatorics of train Tracks
  • 1992
1 Excerpt

La forme symplectique de Weil-Petersson et le bord de Thurston de l'espace de Teichmüller

  • A Papadopulos, R C Penner
  • C.R.Acad.Sci.Paris
  • 1991

Algebras of Loops on Surfaces, Algebras of Knots, and Quantization. In: Braid Group, Knot Theory and Statistical Mechanics

  • G Turaev
  • — Singapore
  • 1989

Weil-Peterson volumes in moduli spaces

  • R C Penner
  • Preprint Inst. Mittag-Lefler
  • 1989

Teichmüller space and geodesic currents

  • F Bonahon
  • Inv.Math
  • 1988

The decorated Teichmüller space of Riemann surfaces

  • R C Penner
  • Comm.Math.Phys
  • 1988

The Real Analytic Theory of Teichmüller Space

  • W Abikoff
  • Lect.Notes.Math
  • 1980

Canonical cell decomposition of hyperbolic manifolds with geodesic boundary., preprint

  • S Kojima
  • Canonical cell decomposition of hyperbolic…

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