Date of Award
9-2013
Document type
dissertation
Access Type
Open Access Dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
First Advisor
Weimin Chen
Second Advisor
Michael Sullivan
Third Advisor
Robert Kusner
Subject Categories
Mathematics
Abstract
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.
DOI
https://doi.org/10.7275/rm58-pb09
Recommended Citation
Herr, Daniel, "Open Books on Contact Three Orbifolds" (2013). Open Access Dissertations. 801.
https://doi.org/10.7275/rm58-pb09
https://scholarworks.umass.edu/open_access_dissertations/801