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α
v
v
v
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n-braid
n-braid
(a) Stabilization along an ab tile, viewed on the embedded tile
v
α'
α
A
A
α'
α
(b) viewed in the foliation
L
(c) Viewed in the projection
U„ q ‡sg0o ˆ¨
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VŠZ
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1
1
Changes in the braid during an exchange move
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A
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A
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exchange move
S
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α(θ)
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N (θ)
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α(θ+π)
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A
sheets of
S
(H θ U H θ+π )
U
L
µ(θ+π)
A
U
d
u=0
u=.25
u=.50
U
(SUL) (Hθ U Hθ+π ),
for fixed θ ∋ (ε,π−ε)
u ∋ [0,1]
u=.75
§ a o
7®rp
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