Alison Tatsuoka (Princeton University)
Event Date
2026-11-06
Event Time
02:30 pm ~ 03:30 pm
Event Location
Wachman 617
PATCH Seminar (joint with Bryn Mawr, Haverford, Penn, and Swarthmore)
Abstract: In 2019, Budney and Gabai introduced a concrete way to construct diffeomorphisms of 4-manifolds called barbell diffeomorphisms. We will review this construction and use barbells to construct interesting knotting in $S^4$ and $S^5$, including knotted splitting spheres and knotted solid tori in $S^4$, and knotted 3-spheres in $S^5$. This is partially joint work with Seungwon Kim and Gheehyun Nahm.
In the morning background talk (at 9:30am), I will give an introduction to knotting in dimensions other than 3 and in codimensions other than 2.