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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/8227

Title: Traces in complex hyperbolic geometry
Authors: Dickson, Yaw Badu Annor
Issue Date: 16-Nov-2015
Abstract: 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.
Description: A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the Degree of Master of Philosophy in Pure Mathematics, 2015
URI: http://hdl.handle.net/123456789/8227
Appears in Collections:College of Science

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