| Abstract: |
| We investigate the dynamics of
the Teichm\uller modular group on
the Teichm\uller space of a Riemann surface of infinite topological type.
We introduce the set of points where the action of the Teichm\uller modular group is stable,
and we prove that this region of stability is generic in the Teichm\uller space.
By taking the quotient and completion with respect to the Teichm\uller distance,
we obtain a moduli space
of the quasiconformally equivalent complex structures admitted on a topologically infinite Riemann surface. |
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