Date of Award
Open Access Dissertation
Doctor of Philosophy (PhD)
In 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.
Herr, Daniel, "Open Books on Contact Three Orbifolds" (2013). Open Access Dissertations. 801.