Mathematics Colloquia and Seminars

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​Geography of spanning surfaces


Speaker: Josh Howie, UC Davis
Location: 2112! also zoom.
Start time: Tue, Nov 16 2021, 4:10PM

The geography problem for spanning surfaces asks for a classification of all pairs of slope and Euler characteristic which can be realised by a spanning surface for a given knot in the 3-sphere. It is enough to understand the meridionally essential one-sided spanning surfaces, a somewhat larger class of surfaces than the geometrically essential spanning surfaces. We will discuss the existence of such one-sided surfaces, and give an algorithmic solution to the geography problem.