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Tuesday Seminar on Topology
Seminar information archive ～04/01｜Next seminar｜Future seminars 04/02～
| Date, time & place | Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | IKE Yuichi, KONNO Hokuto, SAKASAI Takuya |
2018/04/24
17:00-18:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Takahiro Yamamoto (Tokyo Gakugei University)
Singular Fibers of smooth maps and Cobordism groups (JAPANESE)
Takahiro Yamamoto (Tokyo Gakugei University)
Singular Fibers of smooth maps and Cobordism groups (JAPANESE)
[ Abstract ]
Following the pioneering work of R.Thom, cobordism groups of smooth maps have been studied by some mathematicians. Especially, cobordism groups of Morse functions on closed manifolds was studied by O.Saeki and K.Ikegami, B.Kalmar. In this talk, we will introduce cobordism groups among Morse functions on compact manifolds with boundary and study the cobordism groups are trivial or not by using the theory of the universal complex of singular fibers of smooth maps.
Following the pioneering work of R.Thom, cobordism groups of smooth maps have been studied by some mathematicians. Especially, cobordism groups of Morse functions on closed manifolds was studied by O.Saeki and K.Ikegami, B.Kalmar. In this talk, we will introduce cobordism groups among Morse functions on compact manifolds with boundary and study the cobordism groups are trivial or not by using the theory of the universal complex of singular fibers of smooth maps.
