Existence of a type-preserving homomorphism from the figure-eight knot complement fundamental group to the mapping class group of the thrice-punctured torus, yielding first examples of compact atoroidal surface bundles over surfaces.
Otal.The hyperbolization theorem for fibered 3-manifolds, volume 7 of SMF/AMS Texts and Monographs
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Atoroidal surface bundles
Existence of a type-preserving homomorphism from the figure-eight knot complement fundamental group to the mapping class group of the thrice-punctured torus, yielding first examples of compact atoroidal surface bundles over surfaces.