Weimin ChenMichael SullivanRobert KusnerHerr, Daniel2024-04-262024-04-262013-0910.7275/rm58-pb09https://hdl.handle.net/20.500.14394/39259In 2002, Giroux showed that every contact structure had a corresponding open book decomposition. This was the converse to a previous construction of Thurston and Winkelnkemper, and made open books a vital tool in the study of contact three-manifolds. We extend these results to contact orbifolds, i.e. spaces that are locally diffeomorphic to the quotient of a contact manifold and a compatible finite group action. This involves adapting some of the main concepts and constructions of three dimensional contact geometry to the orbifold setting.ContactGeometryGroup ActionOpen BookOrbifoldTopologyMathematicsdissertation