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| Title: | Markoff Maps and SL(2,C)-Characters with One Rational End Invariant | Authors: | WANG HAIBIN | Keywords: | SL(2,C)-characters, rational end invariant | Issue Date: | 6-Jul-2009 | Citation: | WANG HAIBIN (2009-07-06). Markoff Maps and SL(2,C)-Characters with One Rational End Invariant. ScholarBank@NUS Repository. | Abstract: | The properties of SL(2,C)-characters and end invariants are studied with the aid of Markoff maps. In particular, it is found that if the set of the end invariants of a character contains a rational end invariant X and X is not the only element in this set, then X must be an accumulation point in this set. A geometric visulisation of the this result is given and geometric slices are obtained. The boundary behaviour and the continuity properties of the geometric slices are studied. | URI: | http://scholarbank.nus.edu.sg/handle/10635/16844 |
| Appears in Collections: | Master's Theses (Open) |
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| WANG HAIBIN.pdf | 634.54 kB | Adobe PDF | OPEN | None | View/Download |
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