Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds.
dc.contributor.author | Lee, Michelle Dongeun | en_US |
dc.date.accessioned | 2012-10-12T15:25:43Z | |
dc.date.available | NO_RESTRICTION | en_US |
dc.date.available | 2012-10-12T15:25:43Z | |
dc.date.issued | 2012 | en_US |
dc.date.submitted | 2012 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/94050 | |
dc.description.abstract | Let M be a compact orientable hyperbolizable 3-manifold. In this thesis we study the action of the group of outer automorphisms of the fundamental group of M on the PSL(2,C)-character variety of M. In particular, we find a domain of discontinuity U for this action when M is a hyperbolizable twisted I-bundle and when M is a hyperbolizable nontrivial compression body without toroidal boundary components. Our domain of discontinuity is strictly larger than the previously known domain of discontinuity and contains both discrete and faithful and dense representations. Moreover, in the case when M is a twisted I-bundle we show that U is maximal with respect to the discrete and faithful representations. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Character Varieties | en_US |
dc.subject | Hyperbolic 3-manifolds | en_US |
dc.title | Dynamics on PSL(2, C)-Character Varieties of Certain Hyperbolic 3-Manifolds. | en_US |
dc.type | Thesis | en_US |
dc.description.thesisdegreename | PhD | en_US |
dc.description.thesisdegreediscipline | Mathematics | en_US |
dc.description.thesisdegreegrantor | University of Michigan, Horace H. Rackham School of Graduate Studies | en_US |
dc.contributor.committeemember | Canary, Richard D. | en_US |
dc.contributor.committeemember | Mesa, Vilma M. | en_US |
dc.contributor.committeemember | Stover, Matthew | en_US |
dc.contributor.committeemember | Spatzier, Ralf J. | en_US |
dc.contributor.committeemember | Ji, Lizhen | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/94050/1/mishlie_1.pdf | |
dc.owningcollname | Dissertations and Theses (Ph.D. and Master's) |
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