Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/11403| Title: | From Classical to Unwelded - An Examination of Four Knot Classes |
| Authors: | Parchimowicz, Michael |
| Advisor: | Boden, Hans U. Andrew Nicas, Maung Min-Oo Andrew Nicas, Maung Min-Oo |
| Department: | Mathematics and Statistics |
| Keywords: | Knot Theory;Virtual Knots;Welded Knots;Unwelded Knots;Geometry and Topology;Mathematics;Geometry and Topology |
| Publication Date: | Oct-2011 |
| Abstract: | <p>This thesis is an introduction to virtual knots and the forbidden moves, and the closely related classes of welded and unwelded knots. Extensions of the Jones polynomial and the knot group to the various knot types are considered. We also examine the operation of connected sum for virtual and welded knots, and we review the proof that every virtual knot can be untied using the forbidden moves.</p> |
| URI: | http://hdl.handle.net/11375/11403 |
| Identifier: | opendissertations/6371 7393 2265551 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| fulltext.pdf | 893.46 kB | Adobe PDF | View/Open |
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