Session S28 - Knots, Surfaces, 3-manifolds

Wednesday, July 14, 18:40 ~ 19:10 UTC-3

Meridionally essential one-sided spanning surfaces

Joshua Howie

University of California, Davis, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The geography problem for spanning surfaces asks for a classification of all pairs of Euler characteristic and slope 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.

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