Limit sets and regions of discontinuity of Teichmüller modular groups

Fujikawa, Ege

doi:10.1090/S0002-9939-03-06988-0

Limit sets and regions of discontinuity of Teichmüller modular groups
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Proc. Amer. Math. Soc. 132 (2004), 117-126 Request permission

Abstract:

For a Riemann surface of infinite type, the Teichmüller modular group does not act properly discontinuously on the Teichmüller space, in general. As an analogy to the theory of Kleinian groups, we divide the Teichmüller space into the limit set and the region of discontinuity for the Teichmüller modular group, and observe their properties.

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