Index
Accepted (word), 198
Ackermann function, 53
Arrow (of an automaton), 198
Archimedian (group), 29
Artin
coordinates (of a braid), 275
group, see Artin–Tits group
representation, 174
Artin–Tits group, 301
spherical, 302
Automaton, 198
Base, 214
Bi-ordering, see ordering
Bi-orderable (group), 20
Blueprint (term), 79
Braid, 9
dangerous, 167
dual monoid, 156
dual-simple, 156
geometric, 10
group, 9
of a surface, 302
monoid, 14
palindromic, 49
parenthesized, 306
positive, 14
pure, 273
quasi-positive, 28
σ-negative, σ-positive, 23
σ
i
-free, σ-, σ
i
-negative, σ
i
-positive, 23
σΦ-negative, σΦ-positive, 24
simple, 108
special, 59
Braid word, 9
drawn in X, 93
dual, 158
equivalent, 9
greedy normal, 109
σ1-free, 20
σ-negative, σ-positive, 20
σi-negative, σi-positive, 22
σΦ-negative, σΦ-positive, 24
σi Φ-nonnegative, 166
reducible, 88
representative, 9
Breadth
φn-breadth, 159
Φn-breadth, 134
Cantor set, 266
Cayley graph, 93
Class
(shi-class),
121
Code (of a 3-strand braid), 136
Colouring (braid diagram), 56
Combinatorial type
of a triangulation, 236
of a flip, 242
Combing,
of a pure braid, 275
of a triangulation, 241
Comparison (Property), 60
Complexity
(ATH), 212
(braid), 206
(curve diagram), 199
Cone (positive), 20
Conradian (group), 27
Content, 101
Convex (subgroup), 34
Coordinates
of a braid, 222, 223
unreduced, 232
reduced, 234
of a lamination, 230
Curve diagram, 186
isotopic, 186
positive, 201
Curve system, 228
normal, 228
Cycling (automorphism), 14
D-disk (of a pair of triangulations), 237
Decomposition, 133
Defect (pseudo-character), 48
Degree (of a braid), 109
Dehn half-twist, 192
Denominator (of a transmission), 209
Dense (ordered group), 31
321
Previous Page Next Page