汎用データベース
世話人:川村一宏,平山至大,石井敦,丹下基生,蓮井翔
日時 | 2017年2月21日(火)17:00~18:00 |
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場所 | 筑波大学 自然系学系D棟 D814 |
講演者 | 逆井卓也 氏 (東京大学 大学院数理科学研究科) |
講演題目 | Homologically fibered knots and closed 3-manifolds |
アブストラクト | It is well-known that every closed orientable 3-manifold has a fibered knot. Based on the homological simplification of this fact, we define a genus invariant for closed orientable 3-manifolds by using homologically fibered knots. We first discuss how this invariant relates to other fundamental invariants of 3-manifolds. Then we interpret it in terms of structures of groups associated with homology cobordisms of surfaces. Some explicit computational results are also mentioned. |
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