Invitation to knot theory : virtual and classical / Heather A. Dye.
Material type:
TextPublication details: Boca Raton : CRC Press, ©2016.Description: xxx, 256 pages : illustrations ; 27 cmISBN: - 9781498701648
- 514.2242 23 D995
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.2242 D995 (Browse shelf(Opens below)) | Available | 137945 |
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| No cover image available | No cover image available | No cover image available | ||||||
| 514.224 T455 Seminar on fiber spaces | 514.224 W461 Complexity: knots, colourings and counting | 514.224 Y48 Functorial knot theory | 514.2242 D995 Invitation to knot theory : | 514.2242 M291 Knot theory/ | 514.23 Rigid Cohomology | 514.23 Complex topological K-theory |
Includes bibliographical references and index.
Front Cover; Dedication; Contents; List of Figures; List of Tables; Preface; Acknowledgments; About the author; Symbol List; Section I --
Knots and crossings;
Chapter 1 Virtual knots and links;
Chapter 2 Linking invariants;
Chapter 3 A multiverse of knots;
Chapter 4 Crossing invariants;
Chapter 5 Constructing knots;
Section II Knot polynomials;
Chapter 6 The bracket polynomial;
Chapter 7 Surfaces;
Chapter 8 Bracket polynomial II;
Chapter 9 The checkerboard framing;
Chapter 10 Modifications of the bracket polynomial;
Section III Algebraic structures
Chapter 11 Quandles;
Chapter 12 Knots and quandles;
Chapter 13 Biquandles;
Chapter 14 Gauss diagrams;
Chapter 15 Applications;
Appendices.
The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.
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