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Geography of spanning surfaces
Geometry/Topology| 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.