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On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1)
Published online by Cambridge University Press: 01 March 2017
Abstract
Let Σg be a compact, connected, orientable surface of genus g ≥ 2. We ask for a parametrisation of the discrete, faithful, totally loxodromic representations in the deformation space Hom(π1(Σg), SU(3, 1))/SU(3, 1). We show that such a representation, under some hypothesis, can be determined by 30g − 30 real parameters.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 1 , July 2018 , pp. 1 - 23
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- Copyright © Cambridge Philosophical Society 2017
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