TY  - BOOK
AU  - Dye,Heather A.
TI  - Invitation to knot theory: virtual and classical 
SN  - 9781498701648
U1  - 514.2242 23
PY  - 2016///
CY  - Boca Raton : 
PB  - CRC Press, 
KW  - Knot theory
N1  - 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
N2  - 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

ER  -