Sums of 4-manifolds, genus functions and their applications
トポロジー金曜セミナー
開催期間
2022.12.16(金)
16:00 ~ 17:00
16:00 ~ 17:00
場所
ウエスト1号館 D-414 IMIカンファレンスルーム
講演者
安井 弘一 (大阪大学)
概要
Connected sums and boundary sums are fundamental operations on 4-manifolds. In this talk, utilizing genus functions, I will give several applications of these operations and find a new phenomenon of smooth structures under these operations. More specifically, I plan to discuss 3-manifolds bounding exotic 4-manifolds (arXiv:1111.0620), geometrically simply connected 4-manifolds (arXiv:1807.11453), mod 2 simple type conjecture (arXiv:2009.06791), and results announced therein.