Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/14262| Title: | Some Fibred Knots with Bi-orderable Knot Groups |
| Authors: | Lu, Wangshan |
| Advisor: | Nicas, Andrew |
| Department: | Mathematics and Statistics |
| Keywords: | knots;orderability of knot groups;Alexander polynomial;special polynomial;Linnell;Rhemtulla;Rolfsen;Mathematics;Physical Sciences and Mathematics;Statistics and Probability;Mathematics |
| Publication Date: | 2007 |
| Abstract: | <p>This project aims to give an overview of knots, orderability of knot groups, and to construct knots for which the knot groups enjoy some nice properties.</p> <p>To accomplish this, we first present some preliminary results concerning knots and knot groups. We then introduce the Alexander polynomial, and explain the idea of a special polynomial originally introduced by Linnell, Rhemtulla and Rolfsen. By investigating the conditions on a special polynomial, we classify all the special Alexander polynomial of fibred knots of degree less than 10. Finally we construct examples of fibred knots which have a special Alexander polynomial.</p> |
| URI: | http://hdl.handle.net/11375/14262 |
| Identifier: | opendissertations/9083 10164 5686369 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| fulltext.pdf | 828.99 kB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.
