In this paper, we define the primitive/Seifert-fibered property for a knot in . If satisfied, the property ensures that the knot has a Dehn surgery that yields a small Seifert-fibered space (i.e. base and three or fewer critical fibers). Next we describe the twisted torus knots, which provide an abundance of examples of primitive/Seifert-fibered knots. By analyzing the twisted torus knots, we prove that nearly all possible triples of multiplicities of the critical fibers arise via Dehn surgery on primitive/Seifert-fibered knots.
"Small Seifert-fibered Dehn surgery on hyperbolic knots." Algebr. Geom. Topol. 3 (1) 435 - 472, 2003. https://doi.org/10.2140/agt.2003.3.435