Session S28 - Knots, Surfaces, 3-manifolds

Thursday, July 15, 16:00 ~ 16:30 UTC-3

Prime quasi-alternating links are atoroidal

Cameron Gordon

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

A classical result of Menasco is that a prime non-split alternating link is either hyperbolic or a (2,q)-torus link. In 2005 Ozsvath and Szabo introduced the class of quasi-alternating links, which (properly) contains the non-split alternating links. We prove that Menasco's result holds for this more general class: a prime quasi-alternating link is either hyperbolic or a (2,q)-torus link.

Joint work with Steve Boyer (University of Quebec at Montreal) and Ying Hu (University of Nebraska Omaha).

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