کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424557 1344250 2015 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Canonical polygons for the hyperbolic structures on the torus with a single cone point
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Canonical polygons for the hyperbolic structures on the torus with a single cone point
چکیده انگلیسی

Let T0 be the once-punctured torus and θ a real number with 0<θ<2π. Let ρ˜ be a representation of π1(T0) to SL(2,R) which sends the peripheral loop to an elliptic element with trace −2cos⁡(θ/2). Let ρ be the PSL(2,R)-representation induced from ρ˜, and assume it satisfies Bowditch's Q-condition. In this paper, we construct a certain polyhedron, which is obtained as a variation of Jorgensen's theory to cone manifolds, and construct a complete cone hyperbolic structure on the 3-dimensional cone manifold obtained as the product of the torus with a single cone point and R which induces ρ as the holonomy representation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 325-346
نویسندگان
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