yosida han - Nihon UniversityMO s. t. Ml MO finite cover, M2 MO finite cover Discrete Subgroups of...
Transcript of yosida han - Nihon UniversityMO s. t. Ml MO finite cover, M2 MO finite cover Discrete Subgroups of...
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Remark :These links are related by mutation.
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ɤ1(0)
ɤ₂(0)
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horoball pattern
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∪
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example
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translations meridian -0.2131624 + i 1.3579 longitude 18.19998 Volume 24.4323 Cusp volume 12.3568787�
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totally geodesic fourth punctured spheres
blue cusp
red cusp
regular ideal octahedron
upper half space model では
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blue (light blue) cusp
red(pink) cusp
red cusp
blue cusp
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T1
T2 T3 S’
S
T1
T2 T3 S’ T3 T2 T1
red cusp
blue cusp
S
T1
T2 T3 S’
S
T1
T2 T3 S’ T3 T2 T1
T1 S T2 T3 S’ T3 T2 T1
red cusp
blue cusp
S
T1
T2 T3 S’
S
T1
T2 T3 S’ T3 T2 T1
T1 S T2 T3 S’ T3 T2 T1
blue cusp red cusp
∞を中心とするhoroballの高さが1となるようにする.
高さ0.6のhoroball
高さ1のhoroball
blue cusp red cusp
∞を中心とするhoroballの高さが1となるようにする.
高さ0.6のhoroball
blue cusp
S T1 T2 T3 T3 T2 T1 S’
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S T1 T2 T3 S’
高さ1のhoroball
T3 S T1 T2 T3 T2 T1 S’
red cusp(高さ0.6以上)
red cusp
S T1 T2 T3 S’
blue cusp
S T1 T2 T3 T3 T2 T1 S’ 高さ1のhoroball
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S T1 T2 T3 T2 T1 S’ T3
L1とL2のhoroball pattern(高さ1のみ)
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ご清聴ありがとうございました.