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dc.contributor.authorAckermann, Robert Jamesen_US
dc.date.accessioned2014-03-14T20:36:29Z
dc.date.available2014-03-14T20:36:29Z
dc.date.issued2008-04-29en_US
dc.identifier.otheretd-05122008-202129en_US
dc.identifier.urihttp://hdl.handle.net/10919/32655
dc.description.abstractThe bitwist construction, originally discovered by Cannon, Floyd, and Parry, gives us a new method for finding face pairing descriptions of 3-manifolds. In this paper, I will describe the construction in a way suitable for a more general audience than the original research papers. Along the way, I will describe Dehn Surgery and a set of moves which allows us to change the framings of a link without changing the topology of the manifold obtained by Dehn Surgery. Once the theory has been developed, I will apply it to find several bitwist representations of the Poincaré Sphere and 3-Torus. Finally, I discuss how one might attempt to find a set of moves that can take one bitwist representation of a manifold to any other bitwist representation of the same manifold.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartTheThesis.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectBitwisted 3-manifoldsen_US
dc.subjectTwisted 3-manifoldsen_US
dc.subjectDehn Surgeryen_US
dc.subjectface pairingsen_US
dc.titleConstructing Bitwisted Face Pairing 3-Manifoldsen_US
dc.typeThesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairFloyd, William J.en_US
dc.contributor.committeememberThomson, James E.en_US
dc.contributor.committeememberBrown, Ezra A.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05122008-202129/en_US
dc.date.sdate2008-05-12en_US
dc.date.rdate2008-06-06
dc.date.adate2008-06-06en_US


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