## Knots and Physics |

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### Contents

A Short Course of Knots and Physics | 3 |

Physical Knots | 4 |

Diagrams and Moves | 8 |

States and the Bracket Polynomial | 25 |

Alternating Links and Checkerboard Surfaces | 39 |

The Jones Polynomial and its Generalizations | 49 |

An Oriented State Model for Vxt | 74 |

Braids and the Jones Polynomial | 85 |

The Rubber Band and Twisted Tube | 329 |

On a Crossing | 332 |

Slide Equivalence | 336 |

Unoriented Diagrams and Linking Numbers | 339 |

The Penrose Chromatic Recursion | 346 |

The Chromatic Polynomial | 353 |

The Potts Model and the Dichromatic Polynomial | 364 |

Preliminaries for Quantum Mechanics Spin Networks and Angular Momentum | 381 |

Abstract Tensors and the YangBaxter Equation | 104 |

Formal Feynman Diagrams Bracket as a VacuumVacuum Expectation and the Quantum Group SL2q | 117 |

The Form of the Universal J?matrix | 148 |

YangBaxter Models for Specializations of the Homfly Polynomial | 161 |

The Alexander Polynomial | 174 |

KnotCrystals Classical Knot Theory in a Modern Guise | 186 |

The Kauffman Polynomial | 215 |

Oriented Models and Piecewise Linear Models | 235 |

Three Manifold Invariants from the Jones Polynomial | 250 |

Integral Heuristics and Wittens Invariants | 285 |

Appendix Solutions to the YangBaxter Equation | 316 |

Knots and Physics Miscellany 1 Theory of Hitches | 323 |

Quaternions Cayley Numbers and the Belt Trick | 403 |

The Quaternion Demonstrator | 427 |

The Penrose Theory of Spin Networks | 443 |

QSpin Networks and the Magic Weave | 459 |

Knots and Strings Knotted Strings | 475 |

DNA and Quantum Field Theory | 488 |

Knots in Dynamical Systems The Lorenz Attractor | 501 |

Coda | 511 |

513 | |

531 | |

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KNOTS AND PHYSICS

KNOTS AND PHYSICS. ... This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. ...

www.worldscibooks.com/ mathematics/ 2260.html

The Number of Independent Vassiliev Invariants in the Homfly and **...**

Documenta Math. 275. The Number of. Independent Vassiliev Invariants in. the Homfly and Kauffman Polynomials. Jens Lieberum. Received: February 17, 2000 ...

www.emis.de/ journals/ DMJDMV/ vol-05/ 10.pdf

PII: 0160-9327(95)90027-6

Knots and Physics. (2nd edn). Sy lh Kauffman. Pp. 723. World. Scientific Publishing, Singapore, 7993. Hardback. f75.00;. paperback. f47.00. ...

linkinghub.elsevier.com/ retrieve/ pii/ 0160932795900276

AMS Short Course

He authored the interdisciplinary text "Knots and Physics". He discovered the bracket polynomial state model for the Jones polnomial, and the first direct ...

www.ams.org/ meetings/ shcourse.html

week8

Its importance in knot theory comes from the fact that it is a quotient of the group algebra of the braid group (as explained in "Knots and Physics"). ...

math.ucr.edu/ home/ baez/ week8.html

Rev. Mod. Phys. 67, 977 (1995): Atiyah - Quantum physics and the **...**

Knots and Physics, by Louis H. Kauffman World Scientific, Singapore, 1991 . There are now many examples of similar situations in quantum theory related to ...

link.aps.org/ doi/ 10.1103/ RevModPhys.67.977

Colin Adams: The knot book. An elementary introduction to the **...**

Louis Kauffman: Knots and physics. World Scientific 1991, 500p. 981-02-0344-6 (pb). Pds. 19. 5869 Louis Kauffman: Formal knot theory. Princeton UP 1983. ...

felix.unife.it/ Root/ d-Mathematics/ d-Geometry/ b-Knot-theory

ebay 香港: Knots and Physics by Louis H. Kauffman (2001) (物品 **...**

熱門商品: Knots and Physics by Louis H. Kauffman (2001) 在ebay 香港商品類別Books > Textbooks, Education.

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[ISI Highly Cited Researchers Version 1.5]

A review of 'Knots and physics' by lh Kauffman, Science 255 (1992) 1752.. LICKORISH, WBR. Calculations with the Temperley-Lieb algebra Comment. Math. Helv. ...

hcr3.isiknowledge.com/ formViewCharacteristic.cgi?id=2526&

Reading Guide to lqg

L. Kauffman, Knots and Physics, pg. 293 (just after the little bit on SU(2)) (World Scientific, Singapore, 1991) [QC20.7.K56K38 1991] . ...

academics.hamilton.edu/ physics/ smajor/ Papers/ read_guide.html