Index
i/j-move, 34
r-decker set, 4
2-braidings, 234
2-category, 219
2-category, braided monoidal, 227
2-category, braided monoidal with duals, 232
2-category, monoidal, 220, 221
2-category, monoidal with duals, 222
2-tangle, 232
2-tangles, 232
width of a knotted surface, 167
adjoint, 223
Alexander index, 183
Alexander invariants, 181
Alexander isotopy, 105
Alexander modules, 181
Alexander polynomial, 182
Artin's construction, 23
axis, 78
black vertex, 100
braid chart, 100
braid chart moves, 117
braid group, 97
braid movie, 116
braid movie moves , 122
braided monoidal 2-category, 227
braided monoidal 2-category with duals, 232
braiding, 215, 227, 233, 234
braiding, 1-braiding, 234
braiding, 2-braiding, 234
branch point, 2
broken surface diagram, 4
Burau representation, 187
C-moves, 118
Carter, Albert, 36
chart, 19
chart moves, 52
classical knot, 1
closed braid, 98
closed surface braid, 99
colorable decker curve, 133
colored branch points, 161
colored double curve, 161
colored triple points, 161
counit, 215
counit 2-morphism, 222
counit of an object, 223
cross-cap, 5
cusp, 14
decker set, 4
Dehn presentation, 183
depth of a knotted surface, 168
diagram, 9
distinguished region, 138
double decker set, 3, 131
double point set, 2
dual of a 1-morphism, 222
dual of a 2-morphism, 222
dual of an object, 223
EBC, 116
elementary braid changes (EBCs) , 116
elementary string interactions (ESIs), 15
equivalence of knotted surfaces, 41
ESI, 15
FESI, 37
fold, 14
Frenkel-Moore equation, 205
full elementary string interaction (FESI), 37
Gauss code, 27, 170
generated, 232
generic, 1
generic surface, 2
grammar of knotted surfaces, 75
height direction, 13
height function, 13, 14
height of a knotted surface, 168
horizontal axis, 78
horizontal composition, 219
hyperbolic splitting, 39
Kinoshita-Terasaka knot, 23
Klein bottle, 5
knot, 1
knot diagram, 1
knotted surface, 2
knotting, 2
257
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