Friedl, Stefan and Kitayama, Takahiro and Nagel, Matthias (2018) Representation varieties detect essential surfaces. MATHEMATICAL RESEARCH LETTERS, 25 (3). pp. 803-817. ISSN 1073-2780, 1945-001X
Full text not available from this repository. (Request a copy)Abstract
Extending Culler-Shalen theory, Hara and the second author presented a way to construct certain kinds of branched surfaces in a 3-manifold from an ideal point of a curve in the SLn-character variety. There exists an essential surface in some 3-manifold known to be not detected in the classical SL2-theory. We prove that every connected essential surface in a 3-manifold is given by an ideal point of a rational curve in the SLn-character variety for some n.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHARACTER VARIETIES; 3-MANIFOLDS; MANIFOLDS; 3-manifold; essential surface; character variety; Bruhat-Tits building; separable subgroup |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2020 12:53 |
| Last Modified: | 23 Mar 2020 12:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15358 |
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