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## On parameterizations of Teichmüller spaces of surfaces with boundary (2006)

Citations: | 5 - 1 self |

### Citations

328 |
Geometry and spectra of compact Riemann surfaces
- Buser
- 1992
(Show Context)
Citation Context ...y the lengths of three red edges. Furthermore, for any l1,l2,l3 ∈ R>0, there exists a unique colored hyperbolic right-angled hexagon whose three red edges have lengths l1,l2,l3, for a proof see Buser =-=[2]-=-. Given an ideally triangulated surface S with E the set of all edges, each hyperbolic metric d on S has a length coordinate ld : E → R>0 which assigns each edge e the length of the shortest geodesic ... |

181 |
The decorated Teichmuller space of punctured surfaces,
- Penner
- 1987
(Show Context)
Citation Context ...-Nielsen introduced a coordinate for T(S), for more detail see the book Imayoshi & Taniguchi [3]. Bonahon [1] produced a parametrization of the Teichmüller spaces using the sheared coordinate. Penner =-=[7, 8]-=- introduced the “lambda length” coordinate and simplicial coordinate of the decorated Teichmüller space. Recently Luo [4, 5] introduced a family of coordinates of T(S). To be more precise, for each re... |

67 | Shearing hyperbolic surfaces, bending pleated surfaces and Thurston’s symplectic
- Bonahon
- 1996
(Show Context)
Citation Context ...f the Teichmüller spaces. In particular, using the 3-holed decomposition of a surface, Fenchel-Nielsen introduced a coordinate for T(S), for more detail see the book Imayoshi & Taniguchi [3]. Bonahon =-=[1]-=- produced a parametrization of the Teichmüller spaces using the sheared coordinate. Penner [7, 8] introduced the “lambda length” coordinate and simplicial coordinate of the decorated Teichmüller space... |

27 | Decorated Teichmüller theory of bordered surfaces
- Penner
(Show Context)
Citation Context ...-Nielsen introduced a coordinate for T(S), for more detail see the book Imayoshi & Taniguchi [3]. Bonahon [1] produced a parametrization of the Teichmüller spaces using the sheared coordinate. Penner =-=[7, 8]-=- introduced the “lambda length” coordinate and simplicial coordinate of the decorated Teichmüller space. Recently Luo [4, 5] introduced a family of coordinates of T(S). To be more precise, for each re... |

22 | Rigidity of polyhedral surfaces
- Luo
(Show Context)
Citation Context ...spaces of surfaces with boundary arXiv:math/0612221v1 [math.GT] 8 Dec 2006 Ren Guo Department of Mathematics, Rutgers University, Piscataway, NJ, 08854, USA Abstract Email: renguo@math.rutgers.edu In =-=[5]-=-, Luo introduced a ψλ edge invariant which turns out to be a coordinate of the Teichmüller space of a surface with boundary. And he proved that for λ ≥ 0, the image of the Teichmüller space under ψλ e... |

14 | Chem Commun - Luo, Xie, et al. - 2001 |

12 | On Teichmüller spaces of Surfaces with boundary, Duke
- Luo
(Show Context)
Citation Context ...ametrization of the Teichmüller spaces using the sheared coordinate. Penner [7, 8] introduced the “lambda length” coordinate and simplicial coordinate of the decorated Teichmüller space. Recently Luo =-=[4, 5]-=- introduced a family of coordinates of T(S). To be more precise, for each real number λ, he introduced a ψλ edge invariant associated to a hyperbolic metric which turns out to be a coordinate of the T... |

5 |
Masahiko: An introduction to Teichmüller spaces. Translated and revised from the Japanese by the authors
- Imayoshi, Taniguchi
- 1992
(Show Context)
Citation Context ...terizations of the Teichmüller spaces. In particular, using the 3-holed decomposition of a surface, Fenchel-Nielsen introduced a coordinate for T(S), for more detail see the book Imayoshi & Taniguchi =-=[3]-=-. Bonahon [1] produced a parametrization of the Teichmüller spaces using the sheared coordinate. Penner [7, 8] introduced the “lambda length” coordinate and simplicial coordinate of the decorated Teic... |