Geometry and Topology Seminar
Linde Hall 187
Splitting spheres and barbells
Alison Tatsuoka,
PhD Student,
Department of Mathematics,
Princeton University,
In 2019, Budney and Gabai introduced barbell diffeomorphisms of four-manifolds. We will review their construction, and use it to show the existence of infinitely many splitting 3-spheres for two unknotted, unlinked 2-spheres in S^4. Time permitting, we will also discuss some joint work in progress with Seungwon Kim and Gheehyun Nahm, where we use barbells to construct more codimension-1 linking and knotting in S^4.
For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://caltech.zoom.us/j/89994856119.
Event Series
Geometry and Topology Seminar Series
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