Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Abstract
A genus reducing knot is a knot that has infinitely
many surgeries after which the Heegaard genus of the manifold
reduces. We study certain aspects of this question, in particular
solving it for totally orientable Seifert Fibered Spaces, where we
find examples of manifolds of arbitrarily high genus containing
no such knot
