Index
achiral, 45
Alexander polynomial, 131, 132, 134, 211,
225
Alexander-Conway polynomial, 225
algebraic topology, 131
almost unknotted embedding, 82, 83
almost unknotted graphs, 75
alternating diagram, 46
ambient isotopy, 42, 156
amplitude, 140, 141, 143, 144
angular momentum, 195
angular momentum recoupling, 177
annihilation of particles, 143
annihilations, 141
antisymmetrizer, 204
Artin braid group, 131, 139, 161
atoms, 131
base pairs, 54
BFACF algorithm, 88
binor calculus, 201
bra-ket, 142
bracket evaluation, 163
bracket identity, 173
bracket polynomial, 153, 157, 169, 198
braids, 161
bras, 142
Burau representation, 215
cap, 187
categories, 145
catenane, 2, 59, 99, 104
Chebyshev polynomial, 176
Chern-Simons Lagrangian, 140, 222
chiral, 45, 100
chirality, 99
chromatic polynomial, 153, 170
classifying vector, 47
collapse of the wave function, 144
combinatorial knot theory, 186
combinatorial state model, 219
combinatorics, 133, 153
completeness, 143
complex numbers, 140
composite, 45
composition of morphisms, 188
conceit, 137
conformal field theory, 133, 139, 140, 186,
224
conformal quantum field theory, 172
connective constant, 77, 78
Conway, 132
creations, 141
cross-channeling, 134
crossing, 135, 143, 187, 191
crossing number, 45, 81
cup, 187
curvature, 223
curvature tensor F, 222
determinant, 211
Dirac formalism, 143
Dirac string trick, 146
direct repeats, 58
distributive recombination, 59
DNA on protein complexes, 25
DNA repair, 6
DNA replication, 4
DNA topology, 1
DNAse, 54
Dubrovnik polynomial, 198
elementary braid, 161
Elliot-Biedenharn identity, 180, 181
energy, 168
entanglement complexity, 75, 81, 89, 91
entanglement number, 90
enzyme mechanism, 61
epsilon, 194
ether, 131
evolution of the topological structure of
DNA, 1
Feynman integrals, 133
Feynman path integral, 137, 141
Four Color Theorem, 170, 172
4-plat, 47
4-valent plane graph, 154
Fox derivation, 214
framed link, 220
framing, 226, 227
free differential calculus, 211, 213, 215
247
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