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arXiv:math/0307186 [math.GT]AbstractReferencesReviewsResources

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

R. M. Kashaev

Published 2003-07-13Version 1

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.

Comments: 12 pages, no figures
Categories: math.GT, math-ph, math.MP
Subjects: 32G15, 22E40
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