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English

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

Published inMathematical research letters, vol. 12, no. 1, p. 23-36
Publication date2005
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.

Classification
  • arxiv : math.GT
Citation (ISO format)
KASHAEV, Rinat Mavlyavievich. Coordinates for the moduli space of flat PSL(2,R)-connections. In: Mathematical research letters, 2005, vol. 12, n° 1, p. 23–36. doi: 10.4310/mrl.2005.v12.n1.a3
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ISSN of the journal1073-2780
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