Index
Adjacency of an RVT class, 29
A-singularities, 43,109
Blow-up, 109
Badly parameterized curve, 22
Contact manifold, 1
Critical curve, 17
direction, 20
point, 20
RVT class, 28
Cartan theorem in Monster terms, 3, 17, 28
Darboux theorem in Monster terms, 3
Directional blow-up, 95
Engel theorem in Monster terms, 3
Engel manifold, 3, 119
Equivalent curves in the Monster, 4
points of the Monster, 2
Entirely critical RVT class, 28
Fencing RVT classes, 73
Goursat distribution, 3
Integral curves, 4
Jet-identification number
of a point, 45
of an RVT class, 47
KR coordinates, 85
Legendrian curves, 4, 123
Legendrization, 39
Level of the Monster, 1
Local simplicity, 79
Maps Pc , RVT , 33, 36, 37
Moduli, 69
Monster, 1
Monsterization, 39
Non-singular point, 17, 23, 28
Order of good parameterization, 47
Parameterization number, 48
Projection of a curve, 13
of a symmetry, 15
Prolongation of a curve, 13
of a symmetry, 2, 15
Puiseux characteristic, 35, 113
Regular curve, 20
direction, 20
point, 20
prolongation of a point, 21
prolongation of an RVT class, 28
Rigid curve, 18, 131
RL-contact equivalence, 4, 45
RVT class, 27
code of a point, class, 27
code of a plane curve, 32
Singular point, 17,23,28
Simple point, 5, 71
Stage-simple point, 71
RVT class, 72
Symmetry of the Monster, 2
Singularity class, 26
Singular (abnormal) curves, 18, 131
Tangency direction, 24
point, 25
Tower-simple point, 71
RVT class, 72
Vertical curve, 17
direction, 24
point, 25
Well-parameterized curve, 22
∆i, PiR2,
1
Φk,
πi,j , Φk, Γk ,
Γk,
2, 13,14,15
Leg(P1R2),
16
Leg(p), Leg(Q), 39, 40
ET, EV, Eω, 36
ord(f), 90
P, P(1), 95, 96
137
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