title: Knots and Physics (Series on Knots and Everything, Vol.1)
author:  Louis H. Kauffman 
description: "... here is a gold mine where, with care and patience, one should get acquainted with a beautiful subject under the guidance of a most original and imaginative mind."
zlib_text: KNOTS
  KNOTES
  JUSTIN
  R
  OBER
  TS
  Contents
  .
  Motiv
  ation,
  basic
  de�nitions
  and
  questions
  
  ..
  Basic
  de�nitions
  
  ..
  Basic
  questions
  
  ..
  Op
  erations
  on
  knots
  
  ..
  Alternating
  knots
  
  ..
  Unknotting
  n
  um
  b
  er
  
  ..
  F
  urther
  examples
  of
  knots
  and
  links
  
  ..
  Metho
  ds
  
  .
  F
  ormal
  de�nitions
  and
  Reidemeister
  mo
  v
  es
  
  ..
  Knots
  and
  equiv
  alence
  
  ..
  Pro
  jections
  and
  diagrams
  	
  ..
  Reidemeister
  mo
  v
  es
  0
  .
  Simple
  in
  v
  arian
  ts
  
  ..
  In
  v
  arian
  ts
  
  ..
  Linking
  n
  um
  b
  er
  
  ..
  -colourings
  
  ..
  p-colourings
  	
  ..
  Unknotting
  n
  um
  b
  er
  0
  .
  The
  Jones
  p
  olynomial
  
  ..
  The
  Kau�man
  brac
  k
  et
  
  ..
  Correcting
  via
  the
  writhe
  
  ..
  A
  state-sum
  mo
  del
  for
  the
  Kau�man
  brac
  k
  et
  
  ..
  The
  Jones
  p
  olynomial
  and
  its
  prop
  erties
  
  ..
  Alternating
  knots
  and
  the
  Jones
  p
  olynomial
  	
  .
  Surfaces
  
  ..
  Manifolds
  
  ..
  Examples
  of
  surfaces
  
  ..
  Com
  binatorial
  surfaces
  
  ..
  Curv
  es
  in
  surfaces
  	
  ..
  Orien
  tabilit
  y
  
  ..
  Euler
  c
  haracteristic
  
  ..
  Classi�ca