Browsing by Author "Dickson, Yaw Badu Annor"

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    Traces in complex hyperbolic geometry
    (2015-11-16) Dickson, Yaw Badu Annor
    This thesis concerns the study of traces in complex hyperbolic geometry. In this thesis we review a paper by Parker. We begin by looking at basic notions of complex hyperbolic geometry, specifically for the complex hyperbolic space. The main results of the thesis fall into three broad chapters. In the third chapter we reconstruct the proof of proposition We prove that A has a unique fixed point in H2 C corresponding to one of the eigenspaces. We also amplify calculations given by Parker. Finally we discuss the merits on the two ways to parametrise pair of pants groups. As an application, we compute traces of matrices generated by complex reflections in the sides of complex hyperbolic triangle groups in the fifth chapter.