筑波大学トポロジーセミナー
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 |
|---|---|
| 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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