Coordinates for the moduli space of flat PSL(2,R)-connections
Geometric Topology
2007-05-23 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0307186,
title = {Coordinates for the moduli space of flat PSL(2,R)-connections},
author = {R. M. Kashaev},
journal= {arXiv preprint arXiv:math/0307186},
year = {2007}
}
Comments
12 pages, no figures