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Title of Thesis

Recurrence Relation for Jones Polynomials

Author(s)

Abdul Rauf Nizami

Institute/University/Department Details
Abdus Salam School of Mathematical Sciences / GC University, Lahore
Session
2009
Subject
Mathematics
Number of Pages
67
Keywords (Extracted from title, table of contents and abstract of thesis)
Recurrence, Relation, Jones, Polynomials, Knot, invariant, surgery, Braids, Jones, polynomial

Abstract
No Abstract

Download Full Thesis
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S. No. Chapter Title of the Chapters Page Size (KB)
1 0 CONTENTS

 

 v
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2

1

 BASIC NOTIONS

1.1 Knots and links

1.2 Knot invariant and knot surgery
1.3 Braids
1.4 Jones polynomial

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3 2 FIBONACCI MODULES AND MULTIPLE FIBONACCI SEQUENCES

2.1 Introduction

2.2 Tensor product of Fibonacci modules

2.3 Generalizations

2.4 Examples

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4 3 THE RECURRENCE RELATION

3.1 Recurrency

3.2 General qualitative results
3.3 The expansion formula

3.4 The generating function of Jones polynomials

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5 4 COMPLETE COMPUTATIONS

4.1 Jones polynomials of braids in B2

4.2 An example: [V3(xa11 xa22 )]
4.3 Jones polynomials of powers of 3
4.4 Another example: [V3(xa11 xa22 xa31 xa42 )]
4.5 Degree of Jones polynomial

4.6 Knots with trivial Jones polynomial

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6 5 BIBLIOGRAPHY

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