Seifert surfaces of knots in<i>S</i><sup>4</sup>
Seifert surfaces of knots in<i>S</i><sup>4</sup>
This paper uses some ideas from 3-dimensional topology to study knots in S 4 .We show that the Poincare conjecture implies the existence of a non-fibered knot whose complement fibers homotopically.In a different direction, we show that Gromov's norm is an obstruction to a knot having a Seifert surface made …