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dc.contributor.advisorStover, Matthew
dc.creatorPalmer, Rebekah
dc.date.accessioned2023-05-22T19:48:52Z
dc.date.available2023-05-22T19:48:52Z
dc.date.issued2023
dc.identifier.urihttp://hdl.handle.net/20.500.12613/8470
dc.description.abstractLet ΓM be the fundamental group of a knot or link complement M. The discrete faithful representation of ΓM into PSL2(C) has an associated quaternion algebra. We can extend this notation to other representations, which are encoded by the character variety X(ΓM). The generalization is the canonical quaternion algebra and can be used to find unifying features of irreducible representations, such as the splitting behavior of their associated quaternion algebras. Within this dissertation, we will determine properties of the canonical quaternion algebra for the Whitehead link complement and explore how the algebra can descend to quaternion algebras of the Dehn (d, m)-surgeries thereon.
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.subjectCharacter variety
dc.subjectHyperbolic geometry
dc.subjectQuaternion algebra
dc.titleCanonical quaternion algebra of the Whitehead link complement
dc.typeText
dc.type.genreThesis/Dissertation
dc.contributor.committeememberFuter, David
dc.contributor.committeememberTaylor, Samuel J.
dc.contributor.committeememberChinburg, Ted, 1954-
dc.description.departmentMathematics
dc.relation.doihttp://dx.doi.org/10.34944/dspace/8434
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.degreePh.D.
dc.identifier.proqst15283
dc.creator.orcid0000-0002-1240-6759
dc.date.updated2023-05-19T01:08:30Z
refterms.dateFOA2023-05-22T19:48:53Z
dc.identifier.filenamePalmer_temple_0225E_15283.pdf


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