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Open Books on Contact Three Orbifolds

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dc.contributor.advisorWeimin Chen
dc.contributor.advisorMichael Sullivan
dc.contributor.advisorRobert Kusner
dc.contributor.authorHerr, Daniel
dc.contributor.departmentUniversity of Massachusetts Amherst
dc.date2023-09-23T08:30:44.000
dc.date.accessioned2024-04-26T19:54:18Z
dc.date.available2024-04-26T19:54:18Z
dc.date.issued2013-09-01
dc.description.abstractIn 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.
dc.description.degreeDoctor of Philosophy (PhD)
dc.description.departmentMathematics
dc.identifier.doihttps://doi.org/10.7275/rm58-pb09
dc.identifier.urihttps://hdl.handle.net/20.500.14394/39259
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1806&context=open_access_dissertations&unstamped=1
dc.source.statuspublished
dc.subjectContact
dc.subjectGeometry
dc.subjectGroup Action
dc.subjectOpen Book
dc.subjectOrbifold
dc.subjectTopology
dc.subjectMathematics
dc.titleOpen Books on Contact Three Orbifolds
dc.typedissertation
dc.typearticle
dc.typedissertation
digcom.contributor.authorisAuthorOfPublication|email:dzherr@gmail.com|institution:University of Massachusetts Amherst|Herr, Daniel
digcom.identifieropen_access_dissertations/801
digcom.identifier.contextkey4856856
digcom.identifier.submissionpathopen_access_dissertations/801
dspace.entity.typePublication
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