Abstract
In the theory of Teichmüller spaces of compact Riemann surfaces, the mapping class group (or modular group) plays an important role. Indeed, the group is just equal to the group of biholomorphic automorphisms of the Teichmüller space and it acts discontinuously(cf. [3], [4]).
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References
C.J. Earle, F. P. Gardiner and N. Lakic Teichmüller spaces with asymptotic conformal equivalence, preprint.
F. P. Gardiner, Teichmüller theory and quadratic differentials, John Wiley & Sons 1987.
Y. Imayoshi and M. Taniguchi, Introduction to Teichmüller Spaces, Modern Texts in Math. Springer-Tokyo 1992.
S. Nag, The Complex Analytic Theory of Teichmüller Spaces, John Wiley & Sons 1988.
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© 2000 Kluwer Academic Publishers
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Fujikawa, E., Shiga, H., Taniguchi, M. (2000). Discreteness of the Mapping Class Group for Riemann Surfaces of Infinite Analytic Type. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_24
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_24
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