- Page 2 and 3: ALEXEI SOSSINSKY TRANSLATED BY CIS
- Page 4: CONTENTS PREFACE vii 1. ATOMS AND K
- Page 7 and 8: viii PREFACE This book addresses th
- Page 9 and 10: x PREFACE Since Antiquity, the deve
- Page 11: xii PREFACE (a) Figure P.3. Pullies
- Page 15 and 16: XVI PREFACE The second chapter deal
- Page 17 and 18: xviii PREFACE bracket-that is very
- Page 20: KNOTS
- Page 23 and 24: 2 KNOTS view, molecules are constit
- Page 25 and 26: 4 Y : : y o o :: y y: : o : o>-: o
- Page 27 and 28: 6 KNOTS Figure 1.5. An altemating k
- Page 29 and 30: 8 KNOTS A Mathematical View of Knot
- Page 31 and 32: 10 KNOTS here are a few remarks on
- Page 33 and 34: 12 KNOTS . Figu re 1.10. A wild kno
- Page 35 and 36: 14 KNOTS until then unnoticed, rela
- Page 37 and 38: Figure 2.1. Examples of braids. Fig
- Page 39 and 40: 18 KNOTS is true for the more gener
- Page 41 and 42: 20 KNOTS (a) (b) Figure 2.5. Coilin
- Page 43 and 44: 22 KNOTS 2.6d, 2.6e). Two Seifert c
- Page 45 and 46: 24 KNOTS Figure 2.9. Perestroika of
- Page 47 and 48: U KNOTI %%%%%%%%%%%%%% (a) (b) (c)
- Page 49 and 50: 28 KNOTS Figure 2.13. The product o
- Page 51 and 52: 30 KNOTS 2 3 • n-1 n I I I b,_,
- Page 53 and 54: 32 KNOTS (To make this formula easi
- Page 55 and 56: 34 KNOTS = bbAAAAAA[bbbbbbBBBBBB]aa
- Page 57 and 58: 36 KNOTS Here is his answer: Just p
- Page 59 and 60: 38 KNOTS suffice, we will have to s
- Page 61 and 62: Figure 3.3. Catastrophes and Reidem
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42 KNOTS Take the first knot and co
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44 KNOTS Figure 3.5. Wolfgang Haken
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THE ARITHMETIC OF KNOTS (Schubert·
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48 KNOTS Our immediate goal is to s
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50 KNOTS %%%%%%% Digression : The S
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52 KNOTS that n . m = l. (Of course
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54 ) KNOTS Figure 4.5. One knot can
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56 KNOTS of two other nontrivial kn
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SURGERY ANO INVA RIANTS (Conway ·1
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60 KNOTS leaves us with no choice a
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62 Bases: A - adenine T - thymine C
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64 KNOTS Figure 5.5. A supercoiled,
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66 KNOTS For example, the calculati
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68 KNOTS gether). But never mind th
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70 KNOTS Of course, the reader who
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72 KNOTS particular, he will then s
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74 KNOTS Statistical Models For a g
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76 KNOTS the pIane into two compiem
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78 KNOTS type-B crossings, respecti
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80 KNOTS The first ruIe-which, desp
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82 KNOTS same Kauffman bracket. Thi
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84 KNOTS A Little Personal Digressi
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86 KNOTS Let us cali on a classical
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88 KNOTS The two other rules are ob
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FIN ITE-ORDER INVA RIANTS (Vassilie
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FINITE-ORDER INVARIANTS 93 at point
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FINITE-ORDER INVA RIANTS 95 only po
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FIN ITE-ORDER INVARIANTS 97 Slightl
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FINITE-ORDER INVA RIANTS 99 are alI
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FI NITE-ORDER INVA RIANTS 3 3 4 Fig
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FI NITE-ORDER INVA RIANTS 103 The m
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KNOTS AND PHYSICS (Xxx? . 2004?) Th
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KNOTS ANO PHYSICS 107 ,. Il b· I :
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KNOTS ANO PHYSICS 109 explain the m
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KNOTS ANO PHYSICS 111 Figure 8.2. O
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KNOTS AND PHYSICS 113 This theory,
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KNOTS ANO PHYSICS 115 but perhaps n
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KNOTS AND PHYSICS 117 space) is not
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KNOTS AND PHYSICS 119 faces. Is a q
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122 NOTES one of the regions bounde
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124 NOTES Przytycki and Pawel Tracz
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126 NOTES stractions, which belong