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Constructing 4-manifolds

Faculty Research Seminar

Speaker: Abigail Thompson
Location: Zoom
Start time: Tue, May 4 2021, 12:10PM

A classical result is that 3-dimensional manifolds can be split into two simple pieces, called handlebodies. I'll describe these and an analogous construction, called a trisection, for 4-manifolds (due to Gay and Kirby) and some interesting relations between the two dimensions.