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dc.contributor.advisorFuter, David
dc.creatorWorden, William
dc.date.accessioned2020-10-19T16:13:12Z
dc.date.available2020-10-19T16:13:12Z
dc.date.issued2018
dc.identifier.urihttp://hdl.handle.net/20.500.12613/602
dc.description.abstractCertain fibered hyperbolic 3-manifolds admit a layered veering triangulation, which can be constructed algorithmically given the stable lamination of the monodromy. These triangulations were introduced by Agol in 2011, and have been further studied by several others in the years since. In the first part of this work, we obtain experimental results which shed light on the combinatorial structure of veering triangulations, and its relation to certain topological invariants of the underlying manifold. Among other things, our experimental results strongly suggest that typical veering triangulations are non-geometric, i.e., they cannot be realized as a union of isometrically embedded hyperbolic tetrahedra. In the second part, we prove that veering triangulations are in fact generically non-geometric.
dc.format.extent118 pages
dc.language.isoeng
dc.publisherTemple University. Libraries
dc.relation.ispartofTheses and Dissertations
dc.rightsIN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMathematics
dc.subjectFibered
dc.subjectGeometry
dc.subjectHyperbolic
dc.subjectTopology
dc.subjectTriangulation
dc.subjectVeering
dc.titleVeering Triangulations: Theory and Experiment
dc.typeText
dc.type.genreThesis/Dissertation
dc.contributor.committeememberStover, Matthew
dc.contributor.committeememberTaylor, Samuel J.
dc.contributor.committeememberChampanerkar, Abhijit
dc.description.departmentMathematics
dc.relation.doihttp://dx.doi.org/10.34944/dspace/584
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.degreePh.D.
refterms.dateFOA2020-10-19T16:13:12Z


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