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Title of Thesis

Recurrence Relations for HOMFLY Polynomial and Rational Specializations

Author(s)

Rehana Ashraf

Institute/University/Department Details
Abdus Salam School of Mathematical Sciences / GC University, Lahore
Session
2011
Subject
Mathematics
Number of Pages
81
Keywords (Extracted from title, table of contents and abstract of thesis)
Polynomial, Specializations, Recurrence, Rational, Homfly, Relations

Abstract
Not Available

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

 

 
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2

1

PRELIMINARIES

1.1 Introduction
1.2 Knots and links
1.3 Link invariants, Homfly polynomial
1.4 Artin braid group
1.5 Combinatorics

7
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3 2 RECURRENCE RELATIONS FOR HOMFLY POLYNOMIAL AND NICE SPECIALIZATIONS

2.1 Recurrence relations for HOMFLY polynomial
2.2 Nice specialization of HOMFLY polynomial
2.3 Alexander-Conway polynomial
2.4 A new invariant D
2.5 Algebraic independence of link polynomials

17
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4 3 PSIMPLE BRAIDS

3.1 Literally simple braids
3.2 Conjugate simple braids
3.3 The invariant simple set
3.4 Markov simple braids
3.5 Geometrically simple braids
3.6 Appendix

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5 4 COMBINATORICS OF POSITIVE BRAIDS

4.1 Positive braids
4.2 Square free braids
4.3 Simple braids
4.4 Conjugacy classes of simple braids
4.5 The simple graph

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6 5 BIBLIOGRAPHY

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