Encyclopedia of knot theory. (2020)

• Record Type: Book
• Further Information: Note: Edited by Colin Adams [and six others].
• Editors: Adams, Colin (Colin Conrad), 1956-
• Contents: I Introduction and History of Knots Chapter 1. Introduction to Knots; Lewis D. Ludwig II Standard and Nonstandard Representations of Knots Chapter 2. Link Diagrams; Jim Hoste Chapter 3. Gauss Diagrams; Inga Johnson Chapter 4. DT Codes; Heather M. Russell Chapter 5. Knot Mosaics; Lewis D. Ludwig Chapter 6. Arc Presentations of Knots and Links; Hwa Jeong Lee Chapter 7. Diagrammatic Representations of Knots and Links as Closed Braids; Sofia Lambropoulou Chapter 8. Knots in Flows; Michael C. Sullivan Chapter 9. Multi-Crossing Number of Knots and Links; Colin Adams Chapter 10. Complementary Regions of Knot and Link Diagrams; Colin Adams Chapter 11. Knot Tabulation; Jim Hoste III Tangles Chapter 12. What Is a Tangle?; Emille Davie Lawrence Chapter 13. Rational and Non-Rational Tangles; Emille Davie Lawrence Chapter 14. Persistent Invariants of Tangles; Daniel S. Silver and Susan G. Williams IV Types of Knots Chapter 15. Torus Knots; Jason Callahan Chapter 16. Rational Knots and Their Generalizations; Robin T. Wilson Chapter 17. Arborescent Knots and Links; Francis Bonahon Chapter 18. Satellite Knots; Jennifer Schultens Chapter 19. Hyperbolic Knots and Links; Colin Adams Chapter 20. Alternating Knots; William W. Menasco Chapter 21. Periodic Knots; Swatee Naik V Knots and Surfaces Chapter 22. Seifert Surfaces and Genus; Mark Brittenham Chapter 23. Non-Orientable Spanning Surfaces for Knots; Thomas Kindred Chapter 24. State Surfaces of Links; Efstratia Kalfagianni Chapter 25. Turaev Surfaces; Seungwon Kim and Ilya Kofman VI Invariants Defined in Terms of Min and Max Chapter 26. Crossing Numbers; Alexander Zupan Chapter 27. The Bridge Number of a Knot; Jennifer Schultens Chapter 28. Alternating Distances of Knots; Adam Lowrance Chapter 29. Superinvariants of Knots and Links; Colin Adams VII Other Knotlike Objects Chapter 30. Virtual Knot Theory; Louis H. Kau ffman Chapter 31. Virtual Knots and Surfaces; Micah Chrisman Chapter 32. Virtual Knots and Parity; Heather A. Dye and Aaron Kaestner Chapter 33. Forbidden Moves, Welded Knots and Virtual Unknotting; Sam Nelson Chapter 34. Virtual Strings and Free Knots; Nicolas Petit Chapter 35. Abstract and Twisted Links; Naoko Kamada Chapter 36. What Is a Knotoid?; Harrison Chapman Chapter 37. What Is a Braidoid?; Neslihan Gugumcu Chapter 38. What Is a Singular Knot?; Zsuzsanna Dancso Chapter 39. Pseudoknots and Singular Knots; Inga Johnson Chapter 40. An Introduction to the World of Legendrian and Transverse Knots; Lisa Traynor Chapter 41. Classical Invariants of Legendrian and Transverse Knots; Patricia Cahn Chapter 42. Ruling and Augmentation Invariants of Legendrian Knots; Joshua M. Sablo ff VIII Higher Dimensional Knot Theory Chapter 43. Broken Surface Diagrams and Roseman Moves; J. Scott Carter and Masahico Saito Chapter 44. Movies and Movie Moves; J. Scott Carter and Masahico Saito Chapter 45. Surface Braids and Braid Charts; Seiichi Kamada Chapter 46. Marked Graph Diagrams and Yoshikawa Moves; Sang Youl Lee Chapter 47. Knot Groups; Alexander Zupan Chapter 48. Concordance Groups; Kate Kearney IX Spatial Graph Theory Chapter 49. Spatial Graphs; Stefan Friedl and Gerrit Herrmann Chapter 50. A Brief Survey on Intrinsically Knotted and Linked Graphs; Ramin Naimi Chapter 51. Chirality in Graphs; Hugh Howards Chapter 52. Symmetries of Graphs Embedded in S ᶟ and Other 3-Manifolds; Erica Flapan Chapter 53. Invariants of Spatial Graphs; Blake Mellor Chapter 54. Legendrian Spatial Graphs; Danielle O’Donnol Chapter 55. Linear Embeddings of Spatial Graphs; Elena Pavelescu Chapter 56. Abstractly Planar Spatial Graphs; Scott A. Taylor X Quantum Link Invariants Chapter 57. Quantum Link Invariants; D. N. Yetter Chapter 58. Satellite and Quantum Invariants; H. R. Morton Chapter 59. Quantum Link Invariants: From QYBE and Braided Tensor Categories; Ruth Lawrence Chapter 60. Knot Theory and Statistical Mechanics; Louis H. Kau ffman XI Polynomial Invariants Chapter 61. What Is the Kauffman Bracket?; Charles Frohman Chapter 62. Span of the Kauffman Bracket and the Tait Conjectures; Neal Stoltzfus Chapter 63. Skein Modules of 3-Manifold; Rhea Palak Bakshi, Jozef H. Przytycki and Helen Wong Chapter 64. The Conway Polynomial; Sergei Chmutov Chapter 65. Twisted Alexander Polynomials; Stefano Vidussi Chapter 66. The HOMFLYPT Polynomial; Jim Hoste Chapter 67. The Kauffman Polynomials; Jianyuan K. Zhong Chapter 68. Kauffman Polynomial on Graphs; Carmen Caprau Chapter 69. Kauffman Bracket Skein Modules of 3-Manifolds; Rhea Palak Bakshi, Jozef Przytycki and Helen Wong XII Homological Invariants Chapter 70. Khovanov Link Homology; Radmila Sazdanovic Chapter 71. A Short Survey on Knot Floer Homology; Andras I. Stipsicz </
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2020
• Extent: 1 online resource, illustrations (black and white, and colour)
• Subjects: 514.2242; Knot theory
• Languages: English
• ISBNs: 9781000222425; 9781000222388; 9781000222401; 9781138298217
• Related ISBNs: 9781138297845
• Notes: Note: Description based on CIP data; resource not viewed.
• 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.