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Tuesday Seminar on Topology
Seminar information archive ～03/18｜Next seminar｜Future seminars 03/19～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2026/04/07
16:00-17:30 Room #hybrid/056 (Graduate School of Math. Sci. Bldg.)
Pre-registration required. See our seminar webpage.
Tatsumasa Suzuki (The University of Tokyo)
Price twist and pochette surgery constructing non-simply connected closed 4-manifolds (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Pre-registration required. See our seminar webpage.
Tatsumasa Suzuki (The University of Tokyo)
Price twist and pochette surgery constructing non-simply connected closed 4-manifolds (JAPANESE)
[ Abstract ]
A cut-and-paste operation along an embedded real projective plane in a 4-manifold is called a Price twist. A Price twist on the 4-sphere produces, up to diffeomorphism, at most three 4-manifolds: the 4-sphere itself, a homotopy 4-sphere, and a non-simply connected closed 4-manifold. In general, the classification of diffeomorphism types of non-simply connected closed 4-manifolds is still far from being well understood. In this talk, we focus on Price twists on the 4-sphere associated with embeddings of the real projective plane of Kinoshita type that yield non-simply connected 4-manifolds. We present several properties of these manifolds and results on the classification of their diffeomorphism types. We also explain pochette surgery, introduced by Zjuñici Iwase and Yukio Matsumoto, which is closely related to the results of this work. This talk is based on joint work with Tsukasa Isoshima (Keio University).
[ Reference URL ]A cut-and-paste operation along an embedded real projective plane in a 4-manifold is called a Price twist. A Price twist on the 4-sphere produces, up to diffeomorphism, at most three 4-manifolds: the 4-sphere itself, a homotopy 4-sphere, and a non-simply connected closed 4-manifold. In general, the classification of diffeomorphism types of non-simply connected closed 4-manifolds is still far from being well understood. In this talk, we focus on Price twists on the 4-sphere associated with embeddings of the real projective plane of Kinoshita type that yield non-simply connected 4-manifolds. We present several properties of these manifolds and results on the classification of their diffeomorphism types. We also explain pochette surgery, introduced by Zjuñici Iwase and Yukio Matsumoto, which is closely related to the results of this work. This talk is based on joint work with Tsukasa Isoshima (Keio University).
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
