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Character varieties of higher dimensiona...
Hara, Takashi...
Character varieties of higher dimensional representations and splittings of 3-manifolds by Hara, Takashi ( Author )
N.A
16-10-2014
In 1983 Culler and Shalen established a way to construct essential surfaces in a 3-manifold from ideal points of the SL2-character variety associated to the 3-manifold group. We present in this article an analogous construction of certain kinds of branched surfaces (which we call essential tribranched surfaces) from ideal points of the SLn-character variety for a natural number n greater than or equal to 3. Further we verify that such a branched surface induces a nontrivial presentation of the 3-manifold group in terms of the fundamental group of a certain 2-dimensional complex of groups.
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Article
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36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1410.4295
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