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0
Ω
1
Ω
2
{(θ, ρ) : 0 < θ < 2π, ρ = 0}
∆
2
ψ
{(θ, ρ) : 0 < θ <
2π,
θ
2π
= ρ} ∆
1
, ∆
2
Ω
1
, Ω
2
2π ψ θ Γ
1
=
{(θ, ρ) : θ = 0, 0 < ρ < 1} Γ
2
= {(θ, ρ) : θ = 2π, 0 <
ρ < 1}
˜
∆
2
˜ϕ
2
: ∆
2
0
−→
˜
∆
2
˜ϕ
2
= ϕ
2
+ 2πe
1
Γ
2
˜ϕ
∗
2
:=
ϕ
∗
2
+ 2πe
1
ϕ
∗
Γ
1
∆
2
(ϕ
2
)
0
= ( ˜ϕ
2
)
0
(ϕ
∗
)
0
= ( ˜ϕ
∗
)
0
˜
∆
2
∆
1
, ∆
2
Γ
2
Γ
2
∆
1
,
˜
∆
2
ψ
ψ ◦ ϕ
∗
= ψ ◦ ˜ϕ
∗
2π
ψ θ