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On the 4D Lightbulb Theorem

Student-Run Geometry/Topology Seminar

Speaker: Hannah Schwartz, Bryn Mawr
Related Webpage: http://hrschwartz11.wixsite.com/hannahrschwartz
Location: 2112 MSB
Start time: Tue, Oct 2 2018, 11:30AM

Gabai's recent work on the "4D Lightbulb Theorem" introduced ingenious techniques to study the relationship between homotopy, topological isotopy, and smooth isotopy of surfaces in 4-manifolds. We will begin by discussing some background and motivation for this theorem, such as how to produce topologically but not smoothly isotopic spheres in simply-connected 4-manifolds, before giving an idea of its proof.