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A rough fundamental domain for Teichmüller spaces

1977
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Bulletin of the American Mathematical Society
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Let T(S) be the Teichmüller space of Riemann surfaces of finite type and let M(S) be the corresponding modular group. In [11] we described T(S) in terms of real analytic parameters. In this paper we determine a subspace R(S) of T(S) which is a "rough fundamental domain" for M (S) acting on T(S). The construction of R(S) is a generalization of the constructions in [14] and [15]. The previous constructions depended heavily upon an analysis of the action of the elements of M (S) on parameters of

doi:10.1090/s0002-9904-1977-14402-9
fatcat:ndwcihudozhwvj5aiqmw2ttup4