Last Updated：2025/11/29
Sentence
ゼミでは、任意の閉じた向きづけ可能な連結3次元多様体が、各成分が無結び目である3次元球中のフレームドリンクに対して±1の手術係数でデーン手術を行うことで得られるという定理とその応用について議論した。
Quizzes for review
In our seminar we discussed the Lickorish-Wallace theorem and how it allows constructing every closed, orientable, connected 3-manifold by ±1 Dehn surgery on a framed link whose components can be assumed unknotted in the 3-sphere.
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In our seminar we discussed the Lickorish-Wallace theorem and how it allows constructing every closed, orientable, connected 3-manifold by ±1 Dehn surgery on a framed link whose components can be assumed unknotted in the 3-sphere.
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Related words
Lickorish-Wallace theorem
Proper noun
Japanese Meaning
(数学) 任意の閉じた向き付け可能な連結な3次元多様体は、3次元球面内に埋め込まれたフレーム付きリンクに対して±1のDehn手術を施すことで得られるという定理であり、その際、各リンクの構成要素は単結び（unknotted）であると仮定できる。
English - English
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