Heegaard distance of the link complements in $S^3$

Abstract

We show that, for any integers, $g\ge 3$ and $n\ge 2$, there exists a link in $S^3$ such that its complement has a genus $g$ Heegaard splitting with distance $n$.

17 pages, 8 figures. Minor revisions. To appear in J. Knot Theory Ramifications

References in corpus (1)

• Automorphisms of the compression body graph