Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori
نویسندگان
چکیده
منابع مشابه
Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori
We present a computer-oriented method of producing pictures of Bers embeddings of the Teichmüller space of once-punctured tori. The coordinate plane is chosen in such a way that the accessory parameter is hidden in the relative position of the origin. Our algorithm consists of two steps. To each point in the coordinate plane, we first compute the corresponding monodromy representation by numeri...
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In this note, we present a method of computing monodromies of projective structures on a once-punctured torus. This leads to an algorithm numerically visualizing the shape of the Bers embedding of a one-dimensional Teichmüller space. As a by-product, the value of the accessory parameter of a four-times punctured sphere will be calculated in a numerical way as well as the generators of a Fuchsia...
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After fixing a marking (V,W ) of a quasi-Fuchsian punctured torus group G, the complex length λV and the complex twist τV,W parameters define a holomorphic embedding of the quasi-Fuchsian space QF of punctured tori into C2. It is called the complex Fenchel-Nielsen coordinates of QF . For c ∈ C, let Qγ,c be the affine subspace of C2 defined by the linear equation λV = c. Then we can consider the...
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2006
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2006.10128951