| Type of Document |
Master's Thesis |
| Author |
Ackermann, Robert James
|
| Author's Email Address |
rackrmnn@vt.edu |
| URN |
etd-05122008-202129 |
| Title |
Constructing Bitwisted Face Pairing 3-Manifolds |
| Degree |
Master of Science |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Floyd, William J. |
Committee Chair |
| Brown, Ezra A. |
Committee Member |
| Thomson, James E. |
Committee Member |
|
| Keywords |
- Bitwisted 3-manifolds
- Twisted 3-manifolds
- Dehn Surgery
- face pairings
|
| Date of Defense |
2008-04-29 |
| Availability |
unrestricted |
Abstract
The 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.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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TheThesis.pdf |
503.08 Kb |
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