An invitation to knot theory : virtual and classical /: virtual and classical. (2018)
- Record Type:
- Book
- Title:
- An invitation to knot theory : virtual and classical /: virtual and classical. (2018)
- Main Title:
- An invitation to knot theory : virtual and classical
- Further Information:
- Note: Heather A. Dye.
- Authors:
- Dye, Heather A
- Contents:
- Knots and crossings; Virtual knots and links ; CURVES IN THE PLANE; VIRTUAL LINKS; ORIENTED VIRTUAL LINK DIAGRAMS Linking invariants ; CONDITIONAL STATEMENTS; WRITHE AND LINKING NUMBER; DIFFERENCE NUMBER; CROSSING WEIGHT NUMBERS A multiverse of knots ; FLAT AND FREE LINKS; WELDED, SINGULAR, AND PSEUDO KNOTS; NEW KNOT THEORIES Crossing invariants ; CROSSING NUMBERS; UNKNOTTING NUMBERS; UNKNOTTING SEQUENCE NUMBERS Constructing knots ; SYMMETRY; TANGLES, MUTATION, AND PERIODIC LINKS; PERIODIC LINKS AND SATELLITE KNOTS Knot polynomials; The bracket polynomial ; THE NORMALIZED KAUFFMAN BRACKET POLYNOMIAL; THE STATE SUM; THE IMAGE OF THE F -POLYNOMIAL Surfaces; SURFACES; CONSTRUCTIONS OF VIRTUAL LINKS; GENUS OF A VIRTUAL LINK Bracket polynomial II ; STATES AND THE BOUNDARY PROPERTY; PROPER STATES; DIAGRAMS WITH ONE VIRTUAL CROSSING The checkerboard framing; CHECKERBOARD FRAMINGS; CUT POINTS; EXTENDING THE KAUFFMAN-MURASUGI-THISTLETHWAITE THEOREM Modifications of the bracket polynomial ; THE FLAT BRACKET; THE ARROW POLYNOMIAL; VASSILIEV INVARIANTS Algebraic structures; Quandles; TRICOLORING; QUANDLES; KNOT QUANDLES Knots and quandles ; A LITTLE LINEAR ALGEBRA AND THE TREFOIL; THE DETERMINANT OF A KNOT; THE ALEXANDER POLYNOMIAL; THE FUNDAMENTAL GROUP Biquandles ; THE BIQUANDLE STRUCTURE; THE GENERALIZED ALEXANDER POLYNOMIAL Gauss diagrams ; GAUSS WORDS AND DIAGRAMS; PARITY AND PARITY INVARIANTS; CROSSING WEIGHT NUMBER Applications ; QUANTUM COMPUTATION; TEXTILES Appendix A: Tables;Knots and crossings; Virtual knots and links ; CURVES IN THE PLANE; VIRTUAL LINKS; ORIENTED VIRTUAL LINK DIAGRAMS Linking invariants ; CONDITIONAL STATEMENTS; WRITHE AND LINKING NUMBER; DIFFERENCE NUMBER; CROSSING WEIGHT NUMBERS A multiverse of knots ; FLAT AND FREE LINKS; WELDED, SINGULAR, AND PSEUDO KNOTS; NEW KNOT THEORIES Crossing invariants ; CROSSING NUMBERS; UNKNOTTING NUMBERS; UNKNOTTING SEQUENCE NUMBERS Constructing knots ; SYMMETRY; TANGLES, MUTATION, AND PERIODIC LINKS; PERIODIC LINKS AND SATELLITE KNOTS Knot polynomials; The bracket polynomial ; THE NORMALIZED KAUFFMAN BRACKET POLYNOMIAL; THE STATE SUM; THE IMAGE OF THE F -POLYNOMIAL Surfaces; SURFACES; CONSTRUCTIONS OF VIRTUAL LINKS; GENUS OF A VIRTUAL LINK Bracket polynomial II ; STATES AND THE BOUNDARY PROPERTY; PROPER STATES; DIAGRAMS WITH ONE VIRTUAL CROSSING The checkerboard framing; CHECKERBOARD FRAMINGS; CUT POINTS; EXTENDING THE KAUFFMAN-MURASUGI-THISTLETHWAITE THEOREM Modifications of the bracket polynomial ; THE FLAT BRACKET; THE ARROW POLYNOMIAL; VASSILIEV INVARIANTS Algebraic structures; Quandles; TRICOLORING; QUANDLES; KNOT QUANDLES Knots and quandles ; A LITTLE LINEAR ALGEBRA AND THE TREFOIL; THE DETERMINANT OF A KNOT; THE ALEXANDER POLYNOMIAL; THE FUNDAMENTAL GROUP Biquandles ; THE BIQUANDLE STRUCTURE; THE GENERALIZED ALEXANDER POLYNOMIAL Gauss diagrams ; GAUSS WORDS AND DIAGRAMS; PARITY AND PARITY INVARIANTS; CROSSING WEIGHT NUMBER Applications ; QUANTUM COMPUTATION; TEXTILES Appendix A: Tables; Appendix B: References by Chapter Open problems and projects appear at the end of each chapter. … (more)
- Publisher Details:
- Place of publication not identified : Chapman and Hall/CRC
- Publication Date:
- 2018
- Extent:
- 1 online resource (256 pages), (23 illustrations)
- Subjects:
- 514.2242
Knot theory - Languages:
- English
- ISBNs:
- 9781315360096
1315360098 - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.345581
- Ingest File:
- 01_299.xml