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Open books on contact three orbifolds

Daniel Herr, University of Massachusetts Amherst

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.^

Subject Area

Applied mathematics|Mathematics

Recommended Citation

Herr, Daniel, "Open books on contact three orbifolds" (2013). Doctoral Dissertations Available from Proquest. AAI3603097.
http://scholarworks.umass.edu/dissertations/AAI3603097

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