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Proceedings of the American Mathematical Society

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Canonical domains on Riemann surfaces

Author: Bernard Maskit
Journal: Proc. Amer. Math. Soc. 106 (1989), 713-721
MSC: Primary 30F40
MathSciNet review: 964458
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Abstract: Let $ S$ be a Riemann surface of genus $ g > 0$, and of finite topological type. Then $ S$ can be uniquely realized as a closed Riemann surface from which a finite number of disjoint points and closed circular discs have been removed. As a corollary, we obtain that the moduli space of surfaces of genus $ g$ with one hole is a topological product of the moduli space of surfaces of genus $ g$ with one puncture and an interval.

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