Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/16844
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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