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Coordinates for the moduli space of flat PSL(2,R)-connections

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Published in Mathematical Research Letters. 2005, vol. 12, no. 1, p. 23-36
Abstract Let M be the moduli space of irreducible flat PSL(2,R) connections on a punctured surface of finite type with parabolic holonomies around punctures. By using a notion of admissibility of an ideal arc, M is covered by dense open subsets associated to ideal triangulations of the surface. A principal bundle over M is constructed which, when restricted to the Teichmuller component of M, is isomorphic to the decorated Teichmuller space of Penner. The construction gives a generalization to M of Penner's coordinates for the Teichmuller space.
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Deposited on : 2010-10-19

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