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Session S28 - Knots, Surfaces, 3-manifolds

Thursday, July 15, 18:00 ~ 18:30 UTC-3

On non almost-fibered knots

Araceli Guzmán Tristán

CIMAT Guanajuato, México   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

An almost-fibered knot is a knot whose complement possesses a circular thin position in which there is one and only one weakly incompressible Seifert surface and one incompressible Seifert surface. Infinite examples of almost-fibered knots are known. In this talk, we will show the existence of infinitely many hyperbolic genus one knots that are not almost-fibered.

Joint work with Mario Eudave Muñoz (Instituto de Matemáticas, UNAM) and Enrique Ramírez Losada (CIMAT, Guanajuato).

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