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 | |
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fulltext.pdf | 828.99 kB | Adobe PDF | View/Open |
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