Limit sets and regions of discontinuity of Teichmüller modular groups


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.

submission: November 22, 2001
revision: August 28, 2002

dvi file
PDF file