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I am interested in learning about the fundamental domain of a manifold and I am wondering if anyone know of any papers or descriptions online other than Wikipedia and the linked articles? I am looking for a paper which includes the formal definition of the fundamental domain of a manifold and hopefully some methods for constructing the fundamental domain given other information about the manifold. In particular, I am working with smooth $3$-manifolds and attempting to analyze the relationship between the fundamental domain and the piecewise linear structure admitted by Moise's Theorem.

Thank you.

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I found these notes on the Poincare upper half-plane an instructive particular example. (Though that's the same example as Wikipedia...) –  anon Feb 20 '12 at 23:05

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