Knots and Physics

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World Scientific, Jan 1, 1991 - Mathematics - 538 pages
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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
References
513
Index
531
Copyright

Common terms and phrases

Popular passages

Page 516 - Reshetikhin, LA Takhtajan, Quantization of Lie Groups and Lie Algebras, LOMI preprint (1987).
Page 527 - B. Trace, On the Reidemeister moves of a classical knot, Proc. Amer. Math. Soc.
Page 513 - Virasoro algebra, von Neumann algebra and critical eight-vertex SOS models", J. Phys. Soc. Japan 5_5_, No. 10, 3285-3288 (1986). 92) Lawrence, R., "A universal link invariant using quantum groups
Page 515 - VG Drinfeld, Hopf algebras and the quantum Yang-Baxter equation, Soviet Math. Dokl.
Page 514 - Burgoyne PN 1963 Remarks on the combinatorial approach to the Ising problem J.
Page 514 - MF Atiyah. Geometry of Yang-Mills Fields. Accademia Nazionale dei Lincei Scuola Normale Superiore - Lezioni Fermiane. Pisa (1979). [BE] HJ Bernstein and AV Phillips. Fiber bundles and quantum theory.

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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.
cgi.ebay.com.hk/ ws/ eBayISAPI.dll?ViewItem& item=150227465002

[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& link1=Login& table=Publication

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

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